Extension of Isometries in Finite-Dimensional Indefinite Scalar Product Spaces and Polar Decompositions

DOI10.1137/S0895479895290644zbMath0874.15022WikidataQ117363710 ScholiaQ117363710MaRDI QIDQ4339149

Yuri Bolshakov, Boris Raykhshteyn, Cornelis V. M. van der Mee, Leiba Rodman, André C. M. Ran

Publication date: 5 June 1997

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

matrix equationisometriespolar decompositionsWitt's theoremindefinite scalar products\(H\)-unitary matriceshyperbolic QR decompositions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Quadratic and bilinear forms, inner products (15A63)

Related Items (14)

Skew \(\phi\) polar decompositions ⋮ Polar decompositions of quaternion matrices in indefinite inner product spaces ⋮ The hyperbolic Schur decomposition ⋮ Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces ⋮ Orthosymmetric block reflectors ⋮ Normal matrices and polar decompositions indefinite inner products ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ Procrustes problems in finite dimensional indefinite scalar product spaces ⋮ Basic classes of matrices with respect to quaternionic indefinite inner product spaces ⋮ Square roots of \(H\)-nonnegative matrices ⋮ Two-sided hyperbolic SVD ⋮ A new polar decomposition in a scalar product space ⋮ Factorizations into normal matrices in indefinite inner product spaces ⋮ Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).

This page was built for publication: Extension of Isometries in Finite-Dimensional Indefinite Scalar Product Spaces and Polar Decompositions