Results 81 to 90 of about 1,121,911 (166)

Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices

Linear Algebra and its Applications, 1999
Using the transformation of Schur complements of matrices and some estimates of eigenvalues of positive semidefinite Hermitian matrices, the author proves some inequalities for singular values and eigenvalues of Schur complements of products of matrices.
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Moore-Penrose inverse, generalized Schur complement and inertia

Acta Scientiarum Mathematicarum
Abstract In this article, a generalized Schur complement defined by the Moore-Penrose inverse and *congruence to a Hermitian block matrix are studied for a generalization of Haynsworth’s theorem. As an application, an alternative proof of Albert’s characterization of positivity is obtained [A. Albert, SIAM J. Appl. Math. (1969)]. Some
openaire   +1 more source

A Matrix Identity on the Schur Complement

, 2004
This article presents a matrix identity on the Schur complement along with various applications. In particular, it gives a simple and transparent proof for the Crabtree–Haynsworth quotient formula for the Schur complement.
Zhang, Fuzhen
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Generalized Schur functions and augmented Schur parameters

, 2006
Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z).
Forster, KH, Wanjala, Gerald, Jonas, P, Langer, H, Dijksma, Aad   +4 more
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The Generalized Schur Algorithm and Some Applications

, 2018
The generalized Schur algorithm is a powerful tool allowing to compute classical decompositions of matrices, such as the Q R and L U factorizations.
Teresa Laudadio, Laudadio, Teresa, Nicola Mastronardi, Mastronardi, Nicola, Paul Van Dooren, Van Dooren, Paul   +5 more
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Mesh-free high-resolution simulation of cerebrocortical oxygen supply with fast Fourier preconditioning. [PDF]

Int J Numer Method Biomed Eng, 2023
Ventimiglia T, Linninger AA.
europepmc   +1 more source

The Schur Complement and Its Applications

, 2005
Describes the Schur complement as a tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. This book covers themes and variations on the Schur complement.
Zhang, Fuzhen
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Bullous Pemphigoid and Human Leukocyte Antigen (HLA)-DQA1: A Systematic Review. [PDF]

Cureus, 2023
Hesari R, Thibaut D, Schur N, Thoutireddy S, Witcher R, Julian E.   +5 more
europepmc   +1 more source

Improved resolution of D-bar images of ventilation using a Schur complement property and an anatomical atlas. [PDF]

Med Phys, 2022
Santos TBR, Nakanishi RM, de Camargo EDLB, Amato MBP, Kaipio JP, Lima RG, Mueller JL.   +6 more
europepmc   +1 more source

Pieri’s Formula for Generalized Schur Polynomials

, 2008
. We define a generalization of Schur polynomials as a expansion coefficient of generalized Schur operators. We generalize the Pieri’s formula to the generalized Schur polynomials. Résumé.
Combinatoire Algébrique, Numata Yasuhide, Séries Formelles   +2 more
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