Computing \(A^ T A-B^ T B=L^ T DL\) using generalized hyperbolic transformations

DOI10.1016/0024-3795(93)90118-8zbMath0797.65015OpenAlexW2089275430MaRDI QIDQ1318226

E. Neely Atkinson

Publication date: 9 October 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90118-8

zbMATH Keywords

comparison of methodsmatrix inversionmatrix factorizationhyperbolic Householder transformationhyperbolic complex numbershyperbolic Givens transformation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• Mathematica
• LINPACK

Cites Work

• Parallel solution of symmetric positive definite systems with hyperbolic rotations
• Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing
• A Sharp Bound for Products of Hyperbolic Plane Rotations
• Stabilized hyperbolic Householder transformations
• Hyperbolic householder transformations
• Hyperbolic Householder Transforms
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
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