Pseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties

zbMath1326.15007arXiv1504.04527MaRDI QIDQ3448203

Ravindran G., K. C. Sivakumar, Kavita Bisht

Publication date: 23 October 2015

Full work available at URL: https://arxiv.org/abs/1504.04527

zbMATH Keywords

Schur complement\(M\)-matrixprincipal pivot transform\(R\)-matrix\(P\)-matrixnonnegative Moore-Penrose inverseinheritance propertiesleft eigenspace

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

Generalized principal pivot transform and its inheritance properties ⋮ Matrix monotonicity and concavity of the principal pivot transform ⋮ Vanishing pseudo–Schur complements, reverse order laws, absorption laws and inheritance properties ⋮ Matrices with positive semidefinite real part

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