UTV Expansin pack: Special-purpose rank-revealing algorithms

DOI10.1007/s11075-005-2263-2zbMath1079.65026OpenAlexW2138412295MaRDI QIDQ2574857

Ricardo D. Fierro, Per Christian Hansen

Publication date: 2 December 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-005-2263-2

zbMATH Keywords

numerical examplessoftware packagerank reductionnoise reductionLanczos algorithmsrank-revealing decompositionsup- and downdatingUTV Tools

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to linear algebra (15-04) Orthogonalization in numerical linear algebra (65F25)

Related Items (3)

Subspace-based noise reduction for speech signals via diagonal and triangular matrix decompositions: survey and analysis ⋮ Numerical approximation of multiple isolated roots of analytical systems ⋮ Newton's method with deflation for isolated singularities of polynomial systems

Uses Software

• Matlab
• Regularization tools
• mctoolbox
• UTV

Cites Work

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• Truncated VSV solutions to symmetric rank-deficient problems
• Computing Symmetric Rank-Revealing Decompositions via Triangular Factorization
• Numerical solution of saddle point problems
• Stewart's pivoted QLP decomposition for low‐rank matrices
• Lanczos and the Riemannian SVD in information retrieval applications
• The QLP Approximation to the Singular Value Decomposition
• On Solving Block-Structured Indefinite Linear Systems
• Prewhitening for rank-deficient noise in subspace methods for noise reduction
• A symmetric rank-revealing toeplitz matrix decomposition

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