Optimal block diagonal scaling of block 2-cyclic matrices

DOI10.1016/0024-3795(82)90014-3zbMath0491.65026OpenAlexW2038691050MaRDI QIDQ1167514

Stanley C. Eisenstat, John W. Lewis, Martin H. Schultz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90014-3

zbMATH Keywords

condition numbersymmetric positive definite matrixpreconditioningsblock 2-cyclic matricesoptimal block diagonal scaling

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items

Nearly Optimal Block-Jacobi Preconditioning ⋮ Scalable frames ⋮ Bounds for the extreme eigenvalues of block \(2 \times 2\) Hermitian matrices ⋮ Optimal preconditioners of a given sparsity pattern ⋮ Optimally conditioned block matrices ⋮ Parallelization of Hermitian positive definite systems of equations: a hierarchical Jacobi approach ⋮ On the extreme eigenvalues of block \(2\times 2\) Hermitian matrices ⋮ A bound for the condition of a hyperbolic eigenvector matrix ⋮ Scalable preconditioned conjugate gradient inversion of vector finite element mass matrices ⋮ Block scaling with optimal euclidean condition ⋮ A note on optimal block-scaling of matrices

Cites Work

• On Best Conditioned Matrices
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