On the Householder Fox algorithm for decomposing a projection

DOI10.1016/0021-9991(78)90048-7zbMath0395.65009OpenAlexW1996007839MaRDI QIDQ1253084

G. W. Stewart, Cleve Moler

Publication date: 1978

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(78)90048-7

zbMATH Keywords

Orthogonal ProjectionCholeski DecompositionEstimate for the Eigenvalues of a MatrixHouseholder-Fox-AlgorithmRound Off Error

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50) Orthogonalization in numerical linear algebra (65F25)

Related Items

Another orthogonal matrix, revisited, Complex portfolio selection via convex mixed‐integer quadratic programming: a survey, Another orthogonal matrix, Computation of cubic harmonics

Uses Software

• EISPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Pivot selection and row ordering in Givens reduction on sparse matrices
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Computation of cubic harmonics
• Determination of eigenvectors of symmetric idempotent matrices
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
• The Rotation of Eigenvectors by a Perturbation. III