Polar decompositions in finite dimensional indefinite scalar product spaces: General theory

DOI10.1016/S0024-3795(96)00317-5zbMath0881.15013WikidataQ117378065 ScholiaQ117378065MaRDI QIDQ1362654

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

Publication date: 5 August 1997

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

zbMATH Keywords

polar decompositionsindefinite scalar product

Mathematics Subject Classification ID

Factorization of matrices (15A23) Quadratic and bilinear forms, inner products (15A63)

Related Items (23)

Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis ⋮ Spectrum of J-frame operators ⋮ Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels ⋮ Skew \(\phi\) polar decompositions ⋮ $m$th roots of $H$-selfadjoint matrices over the quaternions ⋮ The pair of operators \(T^{[*}T\) and \(TT^{[*]}\): \(J\)-dilations and canonical forms] ⋮ Classes of plus matrices in finite dimensional indefinite scalar product spaces ⋮ Stable and Efficient Computation of Generalized Polar Decompositions ⋮ Polar decompositions of quaternion matrices in indefinite inner product spaces ⋮ The nontriviality of trivial general covariance: how electrons restrict `time' coordinates, spinors (almost) fit into tensor calculus, and \(\frac{7}{16}\) of a tetrad is surplus structure ⋮ Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces ⋮ Spacetime diffeomorphisms as matter fields ⋮ \(m\) th roots of \(H\)-selfadjoint matrices ⋮ The generalized weighted Moore-Penrose inverse ⋮ Normal matrices and polar decompositions indefinite inner products ⋮ Research problem: indefinite inner product normal matrices ⋮ Procrustes problems in finite dimensional indefinite scalar product spaces ⋮ Square roots of \(H\)-nonnegative matrices ⋮ Classes of normal matrices in indefinite inner products ⋮ A new polar decomposition in a scalar product space ⋮ Factorizations into normal matrices in indefinite inner product spaces ⋮ The \(\psi_{S}\) polar decomposition when the cosquare of \(S\) is normal ⋮ Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).

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