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SCHUR COMPLEMENT

  • Schur complement
  • Tool in linear algebra and matrix analysis

    The Schur complement is a key tool in the fields of linear algebra, the theory of matrices, numerical analysis, and statistics. It is defined for a block

    Schur complement

    Schur_complement

  • Schur complement method
  • In numerical analysis, the Schur complement method, named after Issai Schur, is the basic and the earliest version of non-overlapping domain decomposition

    Schur complement method

    Schur_complement_method

  • Issai Schur
  • German mathematician (1875–1941)

    Schur: Schur algebra Schur complement Schur index Schur indicator Schur multiplier Schur orthogonality relations Schur polynomial Schur product Schur

    Issai Schur

    Issai Schur

    Issai_Schur

  • Block matrix
  • Matrix defined using smaller matrices called blocks

    are conformable with them for partitioning. Furthermore, A and the Schur complement of A in P: P/A = D − CA−1B must be invertible. Equivalently, by permuting

    Block matrix

    Block matrix

    Block_matrix

  • List of things named after Issai Schur
  • conjecture Schur complement method Schur complement Schur-convex function Schur decomposition Schur functor Schur index Schur's inequality Schur's lemma (from

    List of things named after Issai Schur

    List_of_things_named_after_Issai_Schur

  • Schur's lemma
  • Homomorphisms between simple modules over the same ring are isomorphisms or zero

    In mathematics, Schur's lemma is an elementary but useful statement in representation theory of groups and algebras. In the group case it says that if

    Schur's lemma

    Schur's_lemma

  • Schur–Zassenhaus theorem
  • Theorem in group theory

    G} has a complement in G {\displaystyle G} . Moreover if either N {\displaystyle N} or G / N {\displaystyle G/N} is solvable then the Schur–Zassenhaus

    Schur–Zassenhaus theorem

    Schur–Zassenhaus_theorem

  • Haynsworth inertia additivity formula
  • Counts positive, negative, and zero eigenvalues of a block partitioned Hermitian matrix

    {In} (H_{11})+\mathrm {In} (H/H_{11})} where H/H11 is the Schur complement of H11 in H: H / H 11 = H 22 − H 12 ∗ H 11 − 1 H 12 . {\displaystyle

    Haynsworth inertia additivity formula

    Haynsworth_inertia_additivity_formula

  • Schur product theorem
  • Theorem in linear algebra

    matrix. The result is named after Issai Schur (Schur 1911, p. 14, Theorem VII) (note that Schur signed as J. Schur in Journal für die reine und angewandte

    Schur product theorem

    Schur_product_theorem

  • Definite matrix
  • Property of a mathematical matrix

    proved with stronger conditions on the blocks, for instance, using the Schur complement. A general quadratic form f ( x ) {\displaystyle f(\mathbf {x} )} on

    Definite matrix

    Definite_matrix

  • Schur decomposition
  • Matrix factorisation in mathematics

    In linear algebra, the Schur decomposition or Schur triangulation, named after Issai Schur, is a matrix decomposition. It allows one to write an arbitrary

    Schur decomposition

    Schur_decomposition

  • Complement
  • Topics referred to by the same term

    (sometimes called an antonym) Complement (group theory) Complementary subspaces Orthogonal complement Schur complement Complement (complexity), relating to

    Complement

    Complement

  • Uzawa iteration
  • where S := B ∗ A − 1 B {\displaystyle S:=B^{*}A^{-1}B} denotes the Schur complement. Since S {\displaystyle S} is symmetric positive-definite, we can apply

    Uzawa iteration

    Uzawa_iteration

  • Variance inflation factor
  • Statistical measure in mathematical model

    -j}=X_{j}^{T}X_{-j},r_{-j,j}=X_{-j}^{T}X_{j},r_{-j,-j}=X_{-j}^{T}X_{-j}} . By using Schur complement, the element in the first row and first column in r − 1 {\displaystyle

    Variance inflation factor

    Variance_inflation_factor

  • Emilie Virginia Haynsworth
  • American mathematician

    worked in linear algebra and matrix theory. She gave the name to Schur complements and is the namesake of the Haynsworth inertia additivity formula.

    Emilie Virginia Haynsworth

    Emilie_Virginia_Haynsworth

  • Poincaré–Steklov operator
  • differences, the discretization of the Poincaré–Steklov operator is the Schur complement obtained by eliminating all degrees of freedom inside the domain. Note

    Poincaré–Steklov operator

    Poincaré–Steklov_operator

  • Pfaffian
  • Square root of the determinant of a skew-symmetric square matrix

    and Boyd, Edinburgh, fourth edition, 1939. Zhang, Fuzhen, ed. The Schur complement and its applications. Vol. 4. Springer Science & Business Media, 2006

    Pfaffian

    Pfaffian

    Pfaffian

  • Schur's lemma (disambiguation)
  • Topics referred to by the same term

    triangularizable, see Schur decomposition Schur test for boundedness of integral operators Schur's theorem Schur's property Schur complement This disambiguation

    Schur's lemma (disambiguation)

    Schur's_lemma_(disambiguation)

  • Determinant
  • In mathematics, invariant of square matrices

    using either the Leibniz formula or a factorization involving the Schur complement, is det ( A 0 C D ) = det ( A ) det ( D ) = det ( A B 0 D ) . {\displaystyle

    Determinant

    Determinant

  • Covariance matrix
  • Measure of covariance of components of a random vector

    K Y | X {\displaystyle \operatorname {K} _{\mathbf {Y|X} }} is the Schur complement of K X X {\displaystyle \operatorname {K} _{\mathbf {XX} }} in Σ {\displaystyle

    Covariance matrix

    Covariance matrix

    Covariance_matrix

  • Woodbury matrix identity
  • Theorem of matrix ranks

    differential equations as the capacitance matrix. Sherman–Morrison formula Schur complement Matrix determinant lemma, formula for a rank-k update to a determinant

    Woodbury matrix identity

    Woodbury_matrix_identity

  • Star-mesh transform
  • Mathematical circuit analysis technique

    equivalent network with one less node. The equivalence follows from the Schur complement identity applied to the Kirchhoff matrix of the network. The equivalent

    Star-mesh transform

    Star-mesh transform

    Star-mesh_transform

  • Multivariate normal distribution
  • Generalization of the one-dimensional normal distribution to higher dimensions

    matrix Σ ¯ {\displaystyle {\overline {\boldsymbol {\Sigma }}}} is the Schur complement of Σ22 in Σ. That is, the equation above is equivalent to inverting

    Multivariate normal distribution

    Multivariate normal distribution

    Multivariate_normal_distribution

  • Polynomial matrix spectral factorization
  • _{21}(t)} . Since the Schur complement is positive definite for the real t {\displaystyle t} away from the poles and the Schur complement is a rational polynomial

    Polynomial matrix spectral factorization

    Polynomial_matrix_spectral_factorization

  • Outline of linear algebra
  • decomposition Higher-order singular value decomposition Schur decomposition Schur complement Haynsworth inertia additivity formula Matrix equivalence

    Outline of linear algebra

    Outline_of_linear_algebra

  • Kron reduction
  • Power engineering technique

    matrix entries to the reduced matrix entries. Star-mesh transform Schur complement Power-flow study Caliskan, Sina Yamac; Tabuada, Paulo (2014). "Towards

    Kron reduction

    Kron_reduction

  • Invertible matrix
  • Matrix with a multiplicative inverse

    {A} :=\mathbf {D} -\mathbf {C} \mathbf {A} ^{-1}\mathbf {B} } is the Schur complement of A. (A must be square, so that it can be inverted. Furthermore, A

    Invertible matrix

    Invertible_matrix

  • Eduard Stiefel
  • Swiss mathematician (1909–1978)

    "The Schur Complement and Its Applications", in Zhang, Fuzhen (ed.), Historical Introduction: Issai Schur and the Early Development of the Schur Complement

    Eduard Stiefel

    Eduard Stiefel

    Eduard_Stiefel

  • Generalized eigenvector
  • Vector satisfying some of the criteria of an eigenvector

    decomposition Higher-order singular value decomposition Schur decomposition Schur complement Haynsworth inertia additivity formula Reducing subspace Relations

    Generalized eigenvector

    Generalized_eigenvector

  • Inverse-Wishart distribution
  • Probability distribution

    }_{22}-{\mathbf {A} }_{21}{\mathbf {A} }_{11}^{-1}{\mathbf {A} }_{12}} is the Schur complement of A 11 {\displaystyle {\mathbf {A} _{11}}} in A {\displaystyle {\mathbf

    Inverse-Wishart distribution

    Inverse-Wishart_distribution

  • Schwarz alternating method
  • Iterative method in conformal mapping

    networks (PINN) Fourier neural operator (FNO) Domain decomposition Schur complement Fictitious domain Schwarz alternating additive abstract additive Neumann–Dirichlet

    Schwarz alternating method

    Schwarz alternating method

    Schwarz_alternating_method

  • Multivariate t-distribution
  • Multivariable generalization of the Student's t-distribution

    _{11|2}=\Sigma _{11}-\Sigma _{12}\Sigma _{22}^{-1}\Sigma _{21}} is the Schur complement of Σ 22  in  Σ {\displaystyle \Sigma _{22}{\text{ in }}\Sigma } . d

    Multivariate t-distribution

    Multivariate_t-distribution

  • Neumann–Neumann methods
  • iteration for the iterative solution of the equations arising from the Schur complement method. This continuous iteration can be discretized by the finite

    Neumann–Neumann methods

    Neumann–Neumann_methods

  • Guyan reduction
  • Dimensionality reduction method

    the rest constrained. Model order reduction Finite element method Schur complement - arising in the field of linear algebra when performing a block Gaussian

    Guyan reduction

    Guyan_reduction

  • Block LU decomposition
  • Type of matrix factorization

    }{\begin{pmatrix}0&0\\0&Q^{\frac {*}{2}}\end{pmatrix}},} where the Schur complement of A {\displaystyle {\begin{matrix}A\end{matrix}}} in the block matrix

    Block LU decomposition

    Block_LU_decomposition

  • Berezinian
  • matrix D − C A − 1 B {\displaystyle D-CA^{-1}B\,} is known as the Schur complement of A relative to [ A B C D ] . {\displaystyle {\begin{bmatrix}A&B\\C&D\end{bmatrix}}

    Berezinian

    Berezinian

  • Matrix variate beta distribution
  • Generalization of beta distribution

    is p 2 × p 2 {\displaystyle p_{2}\times p_{2}} , then defining the Schur complement U 22 ⋅ 1 {\displaystyle U_{22\cdot 1}} as U 22 − U 21 U 11 − 1 U 12

    Matrix variate beta distribution

    Matrix_variate_beta_distribution

  • Manin matrix
  • Calculating the determinant of this matrix in two ways: direct and via Schur complement formula essentially gives Capelli's identity and its generalization

    Manin matrix

    Manin_matrix

  • BDDC
  • Method In numerical analysis

    application of BDDC can be omitted. J.-M. Cros, A preconditioner for the Schur complement domain decomposition method, in Domain Decomposition Methods in Science

    BDDC

    BDDC

  • Power system reduction
  • Simplifying model for electrical grids

    method that eliminates internal nodes from the network by applying the Schur complement to the admittance matrix. Ward reduction, the extended version of Kron

    Power system reduction

    Power system reduction

    Power_system_reduction

  • Complement (group theory)
  • cosets of H. The Schur–Zassenhaus theorem guarantees the existence of complements of normal Hall subgroups of finite groups. Complements generalize both

    Complement (group theory)

    Complement_(group_theory)

  • Semidefinite programming
  • Subfield of convex optimization

    ^{T}x\\c^{T}x&d^{T}x\end{array}}\right]} We can use the theory of Schur Complements to see that D ⪰ 0 {\displaystyle D\succeq 0} (Boyd and Vandenberghe

    Semidefinite programming

    Semidefinite_programming

  • List of numerical analysis topics
  • maps tangential electric field onto the equivalent electric current Schur complement method — early and basic method on subdomains that do not overlap Schwarz

    List of numerical analysis topics

    List_of_numerical_analysis_topics

  • Partial inverse of a matrix
  • is created by inverting A 11 {\displaystyle A_{11}} , putting the Schur complement A / A 11 {\displaystyle A/A_{11}} in place of A 22 {\displaystyle A_{22}}

    Partial inverse of a matrix

    Partial_inverse_of_a_matrix

  • Balancing domain decomposition method
  • in the interiors of the subdomain, thus reducing the problem to the Schur complement on the subdomain interface. Since the BDD preconditioner involves the

    Balancing domain decomposition method

    Balancing_domain_decomposition_method

  • Rostislav Grigorchuk
  • Ukrainian mathematician

    Nekrashevych, Volodymyr.Self-similar groups, operator algebras and Schur complement.J. Mod. Dyn. 1 (2007), no. 3, 323–370. Editorial Statement, Algebra

    Rostislav Grigorchuk

    Rostislav_Grigorchuk

  • Hierarchical matrix
  • Approximation method

    inverse can be computed by using recursion to compute inverses and Schur complements of diagonal blocks and combining both using the matrix-matrix multiplication

    Hierarchical matrix

    Hierarchical_matrix

  • Fast Kalman filter
  • ) = {\displaystyle (D-CA^{-1}B)=} a much smaller matrix called the Schur complement of A {\displaystyle A} . This is the FKF method that may make it computationally

    Fast Kalman filter

    Fast_Kalman_filter

  • List of women in mathematics
  • Virginia Haynsworth (1916–1985), American linear algebraist known for Schur complements and Haynsworth inertia additivity formula Olive Hazlett (1890–1974)

    List of women in mathematics

    List_of_women_in_mathematics

  • Gradient discretisation method
  • Method for numerical differential equations

    networks (PINN) Fourier neural operator (FNO) Domain decomposition Schur complement Fictitious domain Schwarz alternating additive abstract additive Neumann–Dirichlet

    Gradient discretisation method

    Gradient discretisation method

    Gradient_discretisation_method

  • Richard W. Cottle
  • year at Harvard and MIT (1970-1971), he wrote “Manifestations of the Schur Complement’’, one of his most cited papers. In 1974, he started working on “The

    Richard W. Cottle

    Richard W. Cottle

    Richard_W._Cottle

  • Arthur Roderick Collar
  • English scientist and engineer

    standard text in the field and is described as a "classic" in The Schur Complement and Its Applications by Fuzhen Zhang. Bishop calls it a "masterpiece"

    Arthur Roderick Collar

    Arthur_Roderick_Collar

  • Matrix variate Dirichlet distribution
  • U_{22(i)}} is p 2 × p 2 {\displaystyle p_{2}\times p_{2}} . Writing the Schur complement U 22 ⋅ 1 ( i ) = U 21 ( i ) U 11 ( i ) − 1 U 12 ( i ) {\displaystyle

    Matrix variate Dirichlet distribution

    Matrix_variate_Dirichlet_distribution

  • Frobenius group
  • Concept in mathematics

    is the Fitting subgroup, and the Frobenius complement is uniquely determined up to conjugacy by the Schur-Zassenhaus theorem. In particular a finite group

    Frobenius group

    Frobenius group

    Frobenius_group

  • List of things named after Ferdinand Georg Frobenius
  • algebras) Frobenius's theorem (group theory) Frobenius conjecture Frobenius–Schur indicator Perron–Frobenius theorem Quadratic Frobenius test Rouché–Frobenius

    List of things named after Ferdinand Georg Frobenius

    List_of_things_named_after_Ferdinand_Georg_Frobenius

  • Garden
  • Planned space for displaying plants and other forms of nature

    Archived from the original on 29 September 2007. Retrieved 24 May 2007. Schur, Norman; Ehrlich, Eugene; Ehrlich, Richard (1987). British English from

    Garden

    Garden

    Garden

  • Representation theory of finite groups
  • Representations of finite groups, particularly on vector spaces

    theory of Richard Brauer was developed. Character theory Real representation Schur orthogonality relations McKay conjecture Burnside ring (Serre 1977, p. 47)

    Representation theory of finite groups

    Representation_theory_of_finite_groups

  • Introduction to Psychoanalysis
  • Set of lectures by Sigmund Freud

    describing it privately as "coarse work, intended for the multitude". Max Schur, who became Freud's personal physician, was present at the original 1915

    Introduction to Psychoanalysis

    Introduction_to_Psychoanalysis

  • Hall subgroup
  • On the other hand, if A is a π′-group, then by the Schur–Zassenhaus theorem A has a complement in H, which is a Hall π-subgroup of G. Any finite group

    Hall subgroup

    Hall subgroup

    Hall_subgroup

  • Spectral theorem
  • Result about when a matrix can be diagonalized

    decomposed is Hermitian, the spectral decomposition is a special case of the Schur decomposition (see the proof in case of normal matrices below). The spectral

    Spectral theorem

    Spectral_theorem

  • Min-max theorem
  • Theorem in functional analysis

    ⋯ + ξ k ( A ) {\textstyle \xi _{1}(A)+\dots +\xi _{k}(A)} is concave. (Schur-Horn inequality) ξ 1 ( A ) + ⋯ + ξ k ( A ) ≤ a i 1 , i 1 + ⋯ + a i k , i

    Min-max theorem

    Min-max_theorem

  • Abelian group
  • Commutative group (mathematics)

    Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier (Berlin, Heidelberg: Springer, 2017), p. 206. "Abel Prize Awarded:

    Abelian group

    Abelian group

    Abelian_group

  • Maschke's theorem
  • Concerns the decomposition of representations of a finite group into irreducible pieces

    {\displaystyle G} -invariant inner product structure, described in the article Schur orthogonality relations. Maschke's theorem was originally proved for the

    Maschke's theorem

    Maschke's theorem

    Maschke's_theorem

  • Representation theory of the symmetric group
  • Area of mathematics

    Alternating polynomials Symmetric polynomials Schur functor Robinson–Schensted correspondence Schur–Weyl duality Jucys–Murphy element Garnir relations

    Representation theory of the symmetric group

    Representation_theory_of_the_symmetric_group

  • Leslie and Ron
  • 4th episode of the 7th season of Parks and Recreation

    by series co-creator Michael Schur and directed by Beth McCarthy-Miller. In an interview with Entertainment Weekly, Schur revealed that the story for the

    Leslie and Ron

    Leslie_and_Ron

  • Sequence space
  • Vector space of infinite sequences

    entry. The space ℓ1 has the Schur property: In ℓ1, any sequence that is weakly convergent is also strongly convergent (Schur 1921). However, since the weak

    Sequence space

    Sequence_space

  • Ferdinand Georg Frobenius
  • German mathematician (1849–1917)

    Charles W. (2003), Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer, History of Mathematics, Providence, R.I.: American Mathematical

    Ferdinand Georg Frobenius

    Ferdinand Georg Frobenius

    Ferdinand_Georg_Frobenius

  • Weyl group
  • Subgroup of a root system's isometry group

    ISBN 978-0-273-08517-1, Zbl 0483.57002 Howlett, Robert B. (1988), "On the Schur Multipliers of Coxeter Groups", J. London Math. Soc., 2, 38 (2): 263–276

    Weyl group

    Weyl group

    Weyl_group

  • Hepatitis B
  • Human viral infection

    Alpert E, Isselbacher KJ, Schur PH (July 1971). "The pathogenesis of arthritis associated with viral hepatitis. Complement-component studies". The New

    Hepatitis B

    Hepatitis B

    Hepatitis_B

  • History of group theory
  • History of a branch of mathematics

    Sylow. This period saw Hans Zassenhaus's famous Schur-Zassenhaus theorem on the existence of complements to Hall's generalization of Sylow subgroups, as

    History of group theory

    History_of_group_theory

  • Semisimple representation
  • Representation of a group or algebra that is a direct sum of simple representations

    representation with the inner product given by the averaging argument, the Schur orthogonality relations say: the irreducible characters (characters of simple

    Semisimple representation

    Semisimple_representation

  • List of unsolved problems in mathematics
  • Muzychuk and R. Poschel: The isomorphism problem for circulant graphs via Schur ring theory, Codes and Association Schemes, American Math. Society, 2001

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Samaritans
  • Ethnoreligious group native to the Levant

    (1260–1804)] (in Hebrew). בית הוצאה כתר, ירושלים; יד יצחק בן-צבי. p. 258. Schur, Nathan (1 July 1986). "The Samaritans, as Described in Christian Itineraries

    Samaritans

    Samaritans

    Samaritans

  • Dihedral group of order 6
  • Non-commutative group with 6 elements

    swaps. This decomposition is also a consequence (particular case) of the Schur–Zassenhaus theorem. In terms of permutations the two group elements of G

    Dihedral group of order 6

    Dihedral group of order 6

    Dihedral_group_of_order_6

  • Operator theory
  • Mathematical study of linear operators

    {\displaystyle A} is normal if and only if it is unitarily diagonalizable: By the Schur decomposition, we have A = U T U ∗ {\displaystyle A=UTU^{\ast }} , where

    Operator theory

    Operator_theory

  • Blink-182 (album)
  • 2003 album by Blink-182

    release date kept getting missed and pushed back to the point where Jordan Schur, then-president of Geffen, made calls asking, "What is the absolute last

    Blink-182 (album)

    Blink-182_(album)

  • Margulis lemma
  • in the proof of the Kazhdan–Margulis theorem. One can recover the Jordan–Schur theorem as a corollary to the existence of Zassenhaus neighbourhoods. Jorgensen's

    Margulis lemma

    Margulis_lemma

  • Conway group Co3
  • Sporadic simple group

    {Co} _{3}} is maximal in C o 0 {\displaystyle \mathrm {Co} _{0}} . The Schur multiplier and the outer automorphism group are both trivial. Co3 acts on

    Conway group Co3

    Conway group Co3

    Conway_group_Co3

  • Schubert calculus
  • Branch of algebraic geometry

    the same form as the first Jacobi-Trudi identity, expressing arbitrary Schur functions s a {\displaystyle s_{\mathbf {a} }} as determinants in terms

    Schubert calculus

    Schubert_calculus

  • Persicaria hydropiper
  • Species of plant

    squeezed kabosu is added. In Japanese cuisine it is traditionally used as a complement to grilled freshwater fish, but not saltwater fish.[citation needed] In

    Persicaria hydropiper

    Persicaria hydropiper

    Persicaria_hydropiper

  • List of theorems
  • Robertson–Seymour theorem (graph theory) Schnyder's theorem (graph theory) Schur's theorem (Ramsey theory) Schwenk's theorem (graph theory) Sensitivity theorem

    List of theorems

    List_of_theorems

  • Antinuclear antibody
  • Autoantibody that binds to contents of the cell nucleus

    1080/08916930400022715. PMID 15804705. S2CID 1627719. Benito-Garcia E, Schur, PH, Lahita, R, American College of Rheumatology Ad Hoc Committee on Immunologic

    Antinuclear antibody

    Antinuclear antibody

    Antinuclear_antibody

  • Weyl's theorem on complete reducibility
  • {\displaystyle C} is in the center of the universal enveloping algebra, Schur's lemma tells us that C {\displaystyle C} acts as multiple c λ {\displaystyle

    Weyl's theorem on complete reducibility

    Weyl's_theorem_on_complete_reducibility

  • Lie algebra representation
  • Writing Lie algebra sets as matrices

    etc. A simple but useful tool in studying irreducible representations is Schur's lemma. It has two parts: If V, W are irreducible g {\displaystyle {\mathfrak

    Lie algebra representation

    Lie algebra representation

    Lie_algebra_representation

  • Subgroup
  • Subset of a group that forms a group itself

    left cosets, and also the right cosets, are simply the subgroup and its complement. More generally, if p is the lowest prime dividing the order of a finite

    Subgroup

    Subgroup

    Subgroup

  • Representation theory
  • Branch of mathematics that studies abstract algebraic structures

    be reducible. The definition of an irreducible representation implies Schur's lemma: an equivariant map α : ( V , ψ ) → ( V ′ , ψ ′ ) {\displaystyle

    Representation theory

    Representation theory

    Representation_theory

  • Computer-assisted proof
  • Mathematical proof at least partially generated by computer

    hdl:2445/192693. S2CID 28258285. Heule, Marijn J. H. (2017). "Schur Number Five". arXiv:1711.08076 [cs.LO]. "Schur Number Five". www.cs.utexas.edu. Retrieved 2021-10-06

    Computer-assisted proof

    Computer-assisted_proof

  • Division ring
  • Algebraic structure also called skew field

    In general, if R is a ring and S is a simple module over R, then, by Schur's lemma, the endomorphism ring of S is a division ring; every division ring

    Division ring

    Division_ring

  • Integer
  • Number in {..., –2, –1, 0, 1, 2, ...}

    practical computers are of finite capacity. Also, in the common two's complement representation, the inherent definition of sign distinguishes between

    Integer

    Integer

  • William Burnside
  • English mathematician

    Charles W. (2003), Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer, History of Mathematics, Providence, R.I.: American Mathematical

    William Burnside

    William Burnside

    William_Burnside

  • Onobrychis viciifolia
  • Plant species in the pea family

    production systems feeding of O. viciifolia is a promising alternative or complement to synthetic drugs. Besides these anthelmintic properties diets containing

    Onobrychis viciifolia

    Onobrychis viciifolia

    Onobrychis_viciifolia

  • Hip-hop production
  • Creation of hip-hop music in a recording studio

    song/book/art's meaning to those who can decode the layers of meaning. — Richard Schur, Hip Hop Aesthetics and Contemporary African American Literature (2008)

    Hip-hop production

    Hip-hop production

    Hip-hop_production

  • Guardians of the Galaxy (film)
  • 2014 Marvel Studios film

    2013). "Why Are Rob Lowe And Rashida Jones Leaving 'Parks And Rec'? EP Mike Schur Says Decision Was Mutual". The Huffington Post. Archived from the original

    Guardians of the Galaxy (film)

    Guardians_of_the_Galaxy_(film)

  • Fear of a Black Planet
  • 1990 studio album by Public Enemy

    itself tries to complement the album as a whole, fitting into the overall context." In his essay on hip hop aesthetics, Richard Schur interpreted such

    Fear of a Black Planet

    Fear_of_a_Black_Planet

  • Banach space
  • Normed vector space that is complete

    convergent subsequences by Eberlein–Šmulian, that are norm convergent by the Schur property of ℓ 1 . {\displaystyle \ell ^{1}.} A way to classify Banach spaces

    Banach space

    Banach_space

  • Lemma (mathematics)
  • Theorem for proving more complex theorems

    Nakayama's lemma Noether normalization lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's lemma Vitali covering lemma

    Lemma (mathematics)

    Lemma_(mathematics)

  • Spin representation
  • Particular projective representations of the orthogonal or special orthogonal groups

    n = 2m + 1 is odd, the isomorphism B: S → S∗ is unique up to scale by Schur's lemma, since S is irreducible, and it defines a nondegenerate invariant

    Spin representation

    Spin_representation

  • Idempotent (ring theory)
  • In mathematics, element that equals its square

    irreducible idempotent is an idempotent a for which aR is a simple module. By Schur's lemma, EndR(aR) = aRa is a division ring, and hence is a local ring, so

    Idempotent (ring theory)

    Idempotent_(ring_theory)

  • Paul Bernays
  • Swiss mathematician (1888–1977)

    1895–1907. At the University of Berlin, he studied mathematics under Issai Schur, Edmund Landau, Ferdinand Georg Frobenius, and Friedrich Schottky; philosophy

    Paul Bernays

    Paul Bernays

    Paul_Bernays

  • James Robertson (psychoanalyst)
  • Scottish psychiatric social worker & psychoanalyst (1911-1988)

    generalisations without evidence and several members including Freud, Spitz and Max Schur were tasked to submit reponses. Freud criticised Bowlby's approach stating:

    James Robertson (psychoanalyst)

    James_Robertson_(psychoanalyst)

AI & ChatGPT searchs for online references containing SCHUR COMPLEMENT

SCHUR COMPLEMENT

AI search references containing SCHUR COMPLEMENT

SCHUR COMPLEMENT

  • Rusher
  • Surname or Lastname

    English

    Rusher

    English : topographic name for someone who lived among rushes or occupational name for someone who made things out of rushes (see Rush).Americanized spelling of German Rüscher (variant of Rusch) or Roscher.

    Rusher

  • Shew
  • Surname or Lastname

    English

    Shew

    English : unexplained.Probably also an Americanized spelling of German and Jewish Schuh.

    Shew

  • Bratcher
  • Surname or Lastname

    English

    Bratcher

    English : variant of Brach 2, the suffix -er denoting an inhabitant.Probably a partly Americanized form of Swiss German Bretscher, an occupational name for a sawyer, from Brett ‘plank’, ‘board’ + scher, a reduced form of Scherer ‘cutter’, a derivative of scheren ‘to cut’, ‘sever’.

    Bratcher

  • Risher
  • Surname or Lastname

    English

    Risher

    English : variant of Rusher.Americanized spelling of German Rischer, a nickname for a hasty or impetuous person, from an agent derivative of Middle High German rischen ‘to rush’.Americanized spelling of Swiss German Rüscher, a topographic name for someone who lived on a mountainside, from southern dialect risch ‘slope’, ‘mountainside’ + -er, suffix denoting an inhabitant.Americanized spelling of North German Rischer, a topographic name from Middle Low German risch ‘reed’, a topographic name for someone who lived where reeds grew.Anglicized form of Eastern German Rischar, a nickname from Sorbian rýsar ‘knight’.

    Risher

  • Lusher
  • Surname or Lastname

    English, Scottish, and Irish

    Lusher

    English, Scottish, and Irish : variant of Usher 1, with the Old French definite article prefixed.Translation of French Lussier, L’Huissier with the French definite article retained. Compare Lafontaine.Americanized spelling of German Lüscher (see Luscher).

    Lusher

  • Hampshire
  • Surname or Lastname

    English

    Hampshire

    English : regional name from the southern English county so called, which derives its name from Hampton (i.e. the port of Southampton) + Old English scīr ‘division’, ‘district’.English : regional name from the area of Hallamshire in southern Yorkshire, named from Hallam + Middle English schir ‘division’, ‘administrative region’ (Old English scīr). The surname is most common in Yorkshire, where this second derivation is most likely to be the source.

    Hampshire

  • Sher
  • Surname or Lastname

    English

    Sher

    English : variant of Shear 1.Jewish (eastern Ashkenazic) : variant spelling of Scher.

    Sher

  • Shur | ஷுர
  • Boy/Male

    Tamil

    Shur | ஷுர

    Wall, Ox, That beholds

    Shur | ஷுர

  • Shur
  • Biblical

    Shur

    wall; ox; that beholds

    Shur

  • Lasher
  • Surname or Lastname

    English (Sussex)

    Lasher

    English (Sussex) : unexplained.Americanized form of German Löscher (see Loescher).Jewish (eastern Ashkenazic) : habitational name for someone from the village of Lasha, now in Belarus.

    Lasher

  • Score
  • Surname or Lastname

    English

    Score

    English : topographic name from Middle English score ‘steep place’ (Old English scoru), or a habitational name from Score in Ilfracombe or Scur Farm in Braunton, Devon.

    Score

  • Fuller
  • Surname or Lastname

    English

    Fuller

    English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.

    Fuller

  • Scur
  • Boy/Male

    Anglo Saxon

    Scur

    Storm.

    Scur

  • Shoe
  • Surname or Lastname

    English

    Shoe

    English : from Middle English shoe ‘shoe’ (Old English scōh), applied as a metonymic occupational name for a shoemaker or possibly a topographic name for someone who lived on a shoe-shaped piece of land.Translation of Schuh.

    Shoe

  • Shutt
  • Surname or Lastname

    English (mainly Yorkshire)

    Shutt

    English (mainly Yorkshire) : occupational name for an archer, Middle English schut(te), schit(te) (from Old English scytta, a primary derivative of scēotan ‘to shoot’).Americanized spelling of German Schutt.

    Shutt

  • Shear
  • Surname or Lastname

    English

    Shear

    English : nickname for a beautiful or radiant person, or one with fair hair, from Middle English scher, schir ‘bright’, ‘fair’.

    Shear

  • Shur
  • Boy/Male

    Hindu

    Shur

    Wall, Ox, That beholds

    Shur

  • Chur
  • Boy/Male

    British, English

    Chur

    Peasant

    Chur

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Online names & meanings

  • Marzuq
  • Boy/Male

    Muslim/Islamic

    Marzuq

    Blessed fortunate

  • Drishya
  • Girl/Female

    Indian

    Drishya

    Sight

  • J�RGEN
  • Male

    German

    J�RGEN

    Low German form of Latin Georgius, J�RGEN means "earth-worker, farmer."

  • Neelangini
  • Girl/Female

    Hindu, Indian

    Neelangini

    Wife of Lord Shiva

  • Sergeant
  • Surname or Lastname

    English and Irish

    Sergeant

    English and Irish : variant spelling of Sargent.

  • QIAO
  • Female

    Chinese

    QIAO

    high, aspiring, proud.

  • Haniska
  • Girl/Female

    Indian, Tamil

    Haniska

    Grace; Beautiful

  • Illavaenthan
  • Boy/Male

    Indian, Tamil

    Illavaenthan

    King of Youth

  • DEANNE
  • Female

    English

    DEANNE

    Variant spelling of English Dinah, DEANNE means "judgment." 

  • AMENMERINUT
  • Male

    Egyptian

    AMENMERINUT

    , the successor of Rutamen.

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Other words and meanings similar to

SCHUR COMPLEMENT

AI search in online dictionary sources & meanings containing SCHUR COMPLEMENT

SCHUR COMPLEMENT

  • Scour
  • v. i.

    To cleanse anything.

  • Scour
  • n.

    Diarrhoea or dysentery among cattle.

  • Scour
  • v. i.

    To clean anything by rubbing.

  • Skirr
  • v. t.

    To ramble over in order to clear; to scour.

  • Scour
  • v. t.

    To purge; as, to scour a horse.

  • Rake
  • v. t.

    To search through; to scour; to ransack.

  • Scour
  • v. i.

    To run swiftly; to rove or range in pursuit or search of something; to scamper.

  • Skirr
  • v. i.

    To scour; to scud; to run.

  • Scoured
  • imp. & p. p.

    of Scour

  • Scour
  • v. i.

    To be purged freely; to have a diarrhoea.

  • Scour
  • v. t.

    To rub hard with something rough, as sand or Bristol brick, especially for the purpose of cleaning; to clean by friction; to make clean or bright; to cleanse from grease, dirt, etc., as articles of dress.

  • Scur
  • v. i.

    To move hastily; to scour.

  • Stone
  • n.

    To rub, scour, or sharpen with a stone.

  • Bear
  • n.

    A block covered with coarse matting; -- used to scour the deck.

  • Scour
  • v. t.

    To remove by rubbing or cleansing; to sweep along or off; to carry away or remove, as by a current of water; -- often with off or away.

  • Rub
  • v. t.

    To scour; to burnish; to polish; to brighten; to cleanse; -- often with up or over; as, to rub up silver.

  • Scour
  • v. t.

    To pass swiftly over; to brush along; to traverse or search thoroughly; as, to scour the coast.

  • Furbish
  • v. t.

    To rub or scour to brightness; to clean; to burnish; as, to furbish a sword or spear.

  • Scaur
  • n.

    A precipitous bank or rock; a scar.

  • Scouring
  • p. pr. & vb. n.

    of Scour