Schur complements and Banachiewicz-Schur forms
The Electronic Journal of Linear Algebra, 2005 Through the matrix rank method, this paper gives necessary and sufficient conditions for a partitioned matrix to have generalized inverses with Banachiewicz-Schur forms. In addition, this paper investigates the idempotency of generalized Schur complements in a partitioned idempotent matrix.
Yongge Tian, Yoshio Takane
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The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix
Journal of Applied Mathematics, 2013 By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and ...
Jianxing Zhao, Feng Wang, Yaotang Li
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Estimation error for blind Gaussian time series prediction [PDF]
, 2011 We tackle the issue of the blind prediction of a Gaussian time series. For this, we construct a projection operator build by plugging an empirical covariance estimation into a Schur complement decomposition of the projector. This operator is then used to
Espinasse, Thibault +2 more
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Physical properties of the Schur complement of local covariance matrices [PDF]
, 2007 General properties of global covariance matrices representing bipartite Gaussian states can be decomposed into properties of local covariance matrices and their Schur complements. We demonstrate that given a bipartite Gaussian state $\rho_{12}$ described
Eisert J Wolf M M +7 more
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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. +3 more
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Generalized Schur complements and P-complementable operators
Linear Algebra and its Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Massey, Pedro Gustavo +1 more
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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
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Algebraic Multigrid for Disordered Systems and Lattice Gauge Theories [PDF]
, 2000 The construction of multigrid operators for disordered linear lattice operators, in particular the fermion matrix in lattice gauge theories, by means of algebraic multigrid and block LU decomposition is discussed.
Best, Christoph
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Schur complement preconditioners for surface integral-equation formulations of dielectric problems solved with the multilevel fast multipole algorithm [PDF]
, 2011 Cataloged from PDF version of article.Surface integral-equation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of real-life dielectric problems.
Gurel, L., Malas, T.
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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 +3 more
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