Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions

DOI10.1016/0024-3795(93)90525-SzbMath0780.15009WikidataQ114215275 ScholiaQ114215275MaRDI QIDQ1210389

Jonathan E. Rubin, Leiba Rodman, André C. M. Ran

Publication date: 30 January 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

complex matricesrealizationinvariant Lagrangian subspacesminimal factorizationskew-symmetric algebraic Riccati equationskew-symmetric real rational matrix function

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Realizations from input-output data (93B15) Matrices over function rings in one or more variables (15A54)

Related Items

Minimal symmetric factorizations of symmetric real and complex rational matrix functions, On self-adjoint matrix polynomials with constant signature, Skew-symmetric matrix polynomials and their Smith forms, Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence

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