Orthogonal Projections of the Identity: Spectral Analysis and Applications to Approximate Inverse Preconditioning

DOI10.1137/S0036144504431905zbMath1095.65042OpenAlexW1993183642MaRDI QIDQ5470835

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Publication date: 1 June 2006

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036144504431905

zbMATH Keywords

approximate inverse preconditioning, Frobenius norm, orthogonal projectionsingular values, effectiveness of preconditioners

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (6)

Geometrical and spectral properties of the orthogonal projections of the identity ⋮ Improving approximate inverses based on Frobenius norm minimization ⋮ Geometrical inverse preconditioning for symmetric positive definite matrices ⋮ A generalization of the Moore-Penrose inverse related to matrix subspaces of \(\mathbb C^{n\times m}\) ⋮ A generalization of the optimal diagonal approximate inverse preconditioner ⋮ Interpolation of Inverse Operators for Preconditioning Parameter-Dependent Equations

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