The generalized Householder transformation and sparse matrices

DOI10.1016/0024-3795(87)90314-4zbMath0618.65024OpenAlexW2066433486MaRDI QIDQ1822453

Linda Kaufman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90314-4

zbMATH Keywords

ill-conditioned problemsCholesky factorsHouseholder transformationNumerical examplesQR decompositionssparse, well-conditioned problems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Spectral properties and optimality for elementary matrices ⋮ Gaussian quadrature for matrix valued functions on the real line

Cites Work

• A new formulation of the hypermatrix Householder-QR decomposition
• QR-factorization of partitioned matrices. Solution of large systems of linear equations with non-definite coefficient matrices
• Numerical methods for solving linear least squares problems
• Orthogonal Reduction of Sparse Matrices to Upper Triangular Form Using Householder Transformations
• A variable projection method for solving separable nonlinear least squares problems
• Unitary Triangularization of a Nonsymmetric Matrix
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