Matrix monotonicity and concavity of the principal pivot transform
DOI10.1016/j.laa.2023.11.016arXiv2302.04293MaRDI QIDQ6185991
Publication date: 9 January 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.04293
variational principlesSchur complementmatrix inequalitiesMoore-Penrose pseudoinversepartial inverseconstant rankLöwner orderPotapov-Ginzburg transformchain-scattering transformsweep operatormatrix monotoneexchange operatorgyration operatorRedheffer transformmatrix-valued Herglotz-Nevanlinna functionsconvex sets of Hermitian matricesmatrix concavepivot transform
Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Linear inequalities of matrices (15A39) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Convex sets and cones of operators (47L07) Linear accretive operators, dissipative operators, etc. (47B44) Applications of generalized inverses (15A10)
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