Results 51 to 60 of about 408 (148)
On generalized Schur complement of nonstrictly diagonally dominant matrices and general H-matrices
The Electronic Journal of Linear Algebra, 2012 This paper proposes the definition of the generalized Schur complement on nonstrictly diagonally dominant matrices and general H−matrices by using a particular generalized inverse, and then, establishes some significant results on heredity, nonsingularity and the eigenvalue distribution for these generalized Schur complements.
Cheng-Yi Zhang +3 more
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International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 5069-5086, June 2026.ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam +2 more
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CAAI Transactions on Intelligence Technology, Volume 11, Issue 3, Page 920-934, June 2026.ABSTRACT Networked control systems (NCSs) often suffer from performance degradation due to limited communication bandwidth, which can cause data transmission conflicts and packet loss. Existing scheduling strategies may fail to simultaneously meet the real‐time requirements and the importance of multisensor data, and they are particularly vulnerable ...
Da Chen +5 more
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The Electronic Journal of Linear Algebra, 2009 As is well known, the Schur complements of strictly or irreducibly diagonally dominant matrices are H−matrices; however, the same is not true of generally diagonally dominant matrices. This paper proposes some conditions on the generally diagonally dominant matrix A and the subset α ⊂{ 1,2,...,n} so that the Schur complement matrix A/α is an H−matrix ...
Cheng-yi Zhang +3 more
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The Electronic Journal of Linear Algebra, 2009 The paper studies the eigenvalue distribution of Schur complements of some special matrices, including nonstrictly diagonally dominant matrices and general H matrices. Zhang, Xu, and Li (Theorem 4.1, The eigenvalue distribution on Schur complements of H-matrices.
Cheng-Yi Zhang +3 more
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Moore-Penrose inverse, generalized Schur complement and inertia
Acta Scientiarum MathematicarumAbstract 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
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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.
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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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Bullous Pemphigoid and Human Leukocyte Antigen (HLA)-DQA1: A Systematic Review. [PDF]
Cureus, 2023 Hesari R +5 more
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Improved resolution of D-bar images of ventilation using a Schur complement property and an anatomical atlas. [PDF]
Med Phys, 2022 Santos TBR +6 more
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