Results 31 to 40 of about 360 (115)

Optimization Problems of Hermitian Quadratic Matrix-Valued Functions and Applications

Axioms
In this paper, we investigate optimization problems for a Hermitian quadratic matrix-valued function involving two variable matrices. We derive algebraic formulas for the maximal and minimal ranks and partial inertias of this function based on a ...
Sihem Guerarra
doaj   +1 more source

A New Observer Design for the Joint Estimation of States and Unknown Inputs for a Class of Nonlinear Fractional-Order Systems

Mathematics
This article designs an observer for the joint estimation of the state and the unknown input for a class of nonlinear fractional-order systems (FOSs) such that one portion satisfies the Lipschitz condition and the other does not necessarily satisfy such ...
Chenchen Peng, Haiyi Yang, Anqing Yang, Ling Ren   +3 more
doaj   +1 more source

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, Yan Zhu, Shuanghua Luo, Jicheng Li   +3 more
openaire   +1 more source

The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products

Axioms
By using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law (AB){1,3M,4K}=B{1,3N,4K}A{1,3M,4N} are presented.
Yingying Qin, Baifeng Qiu, Zhiping Xiong
doaj   +1 more source

Representations for the Drazin inverse of the generalized Schur complement

, 2013
In this paper we present expressions for the Drazin inverse of the generalized Schur complement $A-CD^{d}B$ in terms of the Drazin inverses of $A$ and the generalized Schur complement $D-BA^{d}C$ under less and weaker restrictions, which generalize several results in the literature and the formula of Sherman-Morrison-Woodbury type.
Zhang, Daochang, Du, Xiankun
openaire   +2 more sources

Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of matrices

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, Shuanghua Luo, Chengxian Xu, Hongying Jiang   +3 more
openaire   +1 more source

The eigenvalue distribution on Schur complement of nonstrictly diagonally dominant matrices and general H-matrices

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, Shuanghua Luo, Fengmin Xu, Chengxian Xu   +3 more
openaire   +1 more source

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

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.
openaire   +2 more sources

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