Results 161 to 170 of about 1,444 (195)
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Generalized Inverse Formulas Using the Schur Complement
SIAM Journal on Applied Mathematics, 1974A formula for various generalized inverses of a partitioned complex matrix is established under certain general conditions. The use of this formula in obtaining the Moore–Penrose inverse of an arbitrary complex matrix is discussed.
Burns, Fennell +3 more
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General H-matrices and their Schur complements
Frontiers of Mathematics in China, 2014This paper presents an extensive fully theoretical study of properties of generalized \(H\)-matrices. It is known, that \(H\)-matrices can be divided into three disjoint sets -- the invertible class \(H^I\), the singular class \(H^S\) and the mixed class \(H^M\).
Zhang, Cheng-Yi +3 more
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Schur Complements and Applications
2011Schur complements arise naturally in the process of inverting block matrices of the form $$M=\left (\begin{array}{cc} A&B\\ C &D\end{array} \right )\!$$ and in characterizing when symmetric versions of these matrices are positive definite or positive semidefinite.
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Systolic array for schur complement computation
International Journal of Computer Mathematics, 1993The computation of the Schur complement in the domain decomposition method often forms a bottleneck to the problem of solving the large sparse linear systems which occur in the Finite Element Method. A systolic array with ns + n(n + 1)/2 processing elements is designed to compute the Schur complement for a bordered block diagonal matrix.
D. J. Evans, C. R. Wan
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Schur complement preconditioners for anisotropic problems
IMA Journal of Numerical Analysis, 1999The authors present two new variants of Schur complement domain decomposition preconditioners for 2D anisotropic problems. These new preconditioners are variants of probing method of \textit{T. F. Chan} and \textit{T. P. Mathew} [SIAM J. Matrix Anal. Appl. 13, No. 1, 212-238 (1992; Zbl 0754.65099)]. Probing is a technique which creates a band matrix to
Giraud, Luc, Tuminaro, Ray S.
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On schur complements in an ep matrix
Periodica Mathematica Hungarica, 1985Necessary and sufficient conditions are derived for the general EP partitioned matrix to have a Schur complement as EP matrix, too. A decomposition of the partitioned matrix into a sum of EP matrices is given.
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On manifestations of the Schur complement
Rendiconti del Seminario Matematico e Fisico di Milano, 1975In this paper the author is concerned with some of the ways in which the Schur complement can be used in numerical linear algebra. Variable elimination and block pivoting are first outlined: the quotient property is next used in order to test whether the leading principal minors of a matrix are nonzero or of a particular sign.
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Pseudo-Schur complements and their properties
Applied Numerical Mathematics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Class-overlap undersampling based on Schur decomposition for Class-imbalance problems
Expert Systems With Applications, 2023代琪, Jian-Wei Liu
exaly