Bounds for condition numbers of triangular and trapezoid matrices

DOI10.1007/BF01932996zbMath0325.65018MaRDI QIDQ4089719

Frans Lemeire

Publication date: 1975

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

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Axisymmetric couple stress elasticity and its finite element formulation with penalty terms ⋮ Interpolating preconditioners for the solution of sequence of linear systems ⋮ Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition ⋮ New updates of incomplete LU factorizations and applications to large nonlinear systems ⋮ Errors in the computation of linear algebraic systems ⋮ A meshless finite difference method based on polynomial interpolation

Cites Work

• Singular value decomposition and least squares solutions
• An inequality connecting the \(P\)-condition number and the determinant
• Bound for the P-condition number of matrices with positive roots
• A criterion for truncation of theQR-decomposition algorithm for the singular linear least squares problem
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• An algorithm for numerical determination of the structure of a general matrix

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