A note on invariance of the eigenvalues, singular values, and norms of matrix products involving generalized inverses

DOI10.1016/0024-3795(92)90232-YzbMath0743.15005MaRDI QIDQ1184479

Jerzy K. Baksalary, Tarmo M. Pukkila

Publication date: 28 June 1992

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

zbMATH Keywords

matrix productgeneralized inversesingular valuesinvariance of eigenvalues

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (8)

Some remarks on partial orderings of nonnegative definite matrices ⋮ Further results on invariance of the eigenvalues of matrix product involving generalized inverses ⋮ Note on the invariance properties of operator products involving generalized inverses ⋮ Applications of completions of operator matrices to some properties of operator products on Hilbert spaces ⋮ Linear and multilinear functional identities in a prime ring with applications ⋮ Invariance properties of a triple matrix product involving generalized inverses ⋮ An invariance property of operator products related to the mixed-type reverse order laws ⋮ Formulas for calculating the dimensions of the sums and the intersections of a family of linear subspaces with applications

Cites Work

• Spectrum and trace invariance criterion and its statistical applications
• 1-2 inverses and the invariance of \(BA^+C\)
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