Results 21 to 30 of about 1,444 (195)

Schur complement of general H‐matrices [PDF]

Numerical Linear Algebra with Applications, 2009
AbstractIt is well known that the Schur complement of some H‐matrices is an H‐matrix. In this paper, the Schur complement of any general H‐matrix is studied. In particular, it is proved that the Schur complement, if it exists, is an H‐matrix and the class to which the Schur complement belongs is studied.
Bru, R., Corral, C., Giménez, I., Mas, J.   +3 more
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Generalized Schur complements and P-complementable operators

Linear Algebra and its Applications, 2004
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Massey, Pedro Gustavo, Stojanoff, Demetrio   +1 more
openaire   +4 more sources

Perturbation Bound of the Group Inverse and the Generalized Schur Complement in Banach Algebra

Abstract and Applied Analysis, 2012
We investigate the relative perturbation bound of the group inverse and also consider the perturbation bound of the generalized Schur complement in a Banach algebra.
Xiaoji Liu, Yonghui Qin, Hui Wei
doaj   +1 more source

Stability Analysis of State Delay Multiagent Systems with Observer-Based Control Protocols

Journal of Mathematics, 2023
The consistency problem of multiagent systems with the output feedback and state delay was considered in this paper. First, the reduced-order observer based on the consensus protocol of state delay is designed, and the consensus protocol is proposed by ...
Xingmei Li, Shasha Deng, Yanhong Wang, Hongyong Deng   +3 more
doaj   +1 more source

Six generalized Schur complements

Linear Algebra and its Applications, 1988
The authors give a unified treatment of equivalence between some old and new generalizations of the Schur complement of matrices.
Butler, C.A., Morley, T.D.
openaire   +2 more sources

A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers

Mathematics, 2019
In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit ...
Yunlan Wei, Yanpeng Zheng, Zhaolin Jiang, Sugoog Shon   +3 more
doaj   +1 more source

An Interval Observer for a Class of Cyber–Physical Systems with Disturbance

Axioms, 2023
This paper investigates the problem of interval estimation for cyber–physical systems with unknown disturbance. In order to realize the interval estimation of cyber–physical systems, two technical methods are adopted.
Yong Qin, Jun Huang, Hongrun Wu
doaj   +1 more source

On Schur Complement in k-Kernel Symmetric Block Quadri Partitioned Neutrosophic Fuzzy Matrices [PDF]

Neutrosophic Sets and Systems
In this paper, we present equivalent characterizations of k-kernel symmetric (k-KS) Quadri Partitioned Neutrosophic Fuzzy Matrices (QPNFMs). Additionally, we establish the necessary and sufficient conditions for the Schur complement (SC) within a k-KS ...
K. Radhika, T. Harikrishnan, R. Ambrose Prabhu, P.Tharaniya, M. John peter, M.Anandhkumar   +5 more
doaj   +1 more source

New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control

Mathematics, 2022
This paper mainly researches the synchronization issue of discrete-time recurrent neural networks (DTRNNs) with time-varying delay based on event-triggered control (ETC).
Lei Yu, Guici Chen, Feng Jiang, Zhi Wang
doaj   +1 more source

On Schur's complement

Journal of Combinatorial Theory, Series A, 1973
AbstractA new proof is given for Haynsworth's formula for Schur's complement.
openaire   +2 more sources