Extremal Characterizations of the Schur Complement and Resulting Inequalities

DOI10.1137/S0036144599337290zbMath0948.15017OpenAlexW2032220414MaRDI QIDQ4490796

Chi-Kwong Li, Roy Mathias

Publication date: 20 July 2000

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036144599337290

zbMATH Keywords

Schur complementpositive definite matrixMoore-Penrose generalized inverseSchur productoperator inequalitieseigenvalue inequalities

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

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