Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces

DOI10.1016/S0024-3795(99)00072-5zbMath0954.15008WikidataQ127723541 ScholiaQ127723541MaRDI QIDQ1970434

André C. M. Ran, Leiba Rodman, Cornelis V. M. van der Mee

Publication date: 7 June 2000

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

zbMATH Keywords

polar decompositionunitary matrixsquare root of matrixindefinite scalar productadjoint matrix

Mathematics Subject Classification ID

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

Related Items

Spectrum of J-frame operators ⋮ Polar decompositions of quaternion matrices in indefinite inner product spaces ⋮ \(m\) th roots of \(H\)-selfadjoint matrices ⋮ 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 ⋮ Polar decompositions and related classes of operators in spaces \(\Pi_\kappa\).

Cites Work

• Pencils of complex and real symmetric and skew matrices
• Matrices and indefinite scalar products
• Analytic perturbation theory for matrices and operators. Licensed ed
• Polar decompositions in finite dimensional indefinite scalar product spaces: General theory
• Unitary equivalence in an indefinite scalar product: An analogue of singular-value decomposition
• Congruences and Norms of Hermitian Matrices
• Extension of Isometries in Finite-Dimensional Indefinite Scalar Product Spaces and Polar Decompositions
• Square roots of complex matrices
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