Generalized QR factorization and its applications

DOI10.1016/0024-3795(92)90379-OzbMath0747.65022MaRDI QIDQ1183190

S. Singh

Publication date: 28 June 1992

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

zbMATH Keywords

conditioninglinear regressiongeneralized \(QR\) factorizationlinear equality-constrained least squares problem

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Orthogonalization in numerical linear algebra (65F25)

Related Items (11)

Efficient implementation of a structured total least squares based speech compression method ⋮ Perturbation bounds for the generalized QR factorization ⋮ Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids ⋮ Scaling Up Parallel Computation of Tiled QR Factorizations by a Distributed Scheduling Runtime System and Analytical Modeling ⋮ Updating QR factorization procedure for solution of linear least squares problem with equality constraints ⋮ Conservative DG method for the micro-macro decomposition of the Vlasov-Poisson-Lenard-Bernstein model ⋮ Two-sided generalized hyperbolic QR factorization and its perturbation analysis ⋮ Numerical strategies for recursive least squares solutions to the matrix equation AX = B ⋮ Estimating seemingly unrelated regression models with vector autoregressive disturbances ⋮ Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints ⋮ Discrete least-squares finite element methods

Uses Software

• LAPACK
• LINPACK
• SONEST
• CONEST

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rang revealing QR factorizations
• A parallel algorithm for computing the generalized singular value decomposition
• An approach to nonlinear programming
• Condition Estimates
• Sparse Orthogonal Schemes for Structural Optimization Using the Force Method
• On the Method of Weighting for Equality-Constrained Least-Squares Problems
• Computing the Generalized Singular Value Decomposition
• Iterative Methods for Equality-Constrained Least Squares Problems
• A Storage-Efficient $WY$ Representation for Products of Householder Transformations
• FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
• Error Analysis and Implementation Aspects of Deferred Correction for Equality Constrained Least Squares Problems
• Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
• A Constrained Least Squares Approach to the General Gauss-Markov Linear Model
• Structure-Preserving and Rank-Revealing QR-Factorizations
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Computer Solution and Perturbation Analysis of Generalized Linear Least Squares Problems
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems

This page was built for publication: Generalized QR factorization and its applications