Properties of the matrix \(A-XY^*\)

DOI10.1016/j.laa.2004.10.028zbMath1082.15011OpenAlexW2596448394MaRDI QIDQ2575698

Frederieke van Perlo-ten Kleij, A. G. M. Steerneman

Publication date: 6 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.028

zbMATH Keywords

eigenvalueseigenvectorsMoore-Penrose inverseprojection matrixIdempotent matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items

On the Moore–Penrose inverse of a sum of matrices ⋮ On Moore-Penrose inverses of quasi-Kronecker structured matrices ⋮ Extension of the GSMW formula in weaker assumptions ⋮ Relationship between the characteristic polynomial and the spectrum of a diagonalizable matrix and those of its low-rank update ⋮ A generalization of the SMW formula of operator \(A + Y G Z^*\) to the \(\{2 \}\)-inverse case ⋮ Introduction to the Geometric Theory of ODEs with Applications to Chemical Processes

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• The Moore--Penrose Generalized Inverse for Sums of Matrices
• The Solution of a Certain Polynomial Equation
• 3249. On the roots of a certain determinantal equation

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