Block conjugate gradient algorithms for least squares problems
type: Item
instance of: scholarly article
title: Block conjugate gradient algorithms for least squares problems
zbMATH Open document ID: 1357.65039
author: Hao Ji
author: Yaohang Li
published in: Journal of Computational and Applied Mathematics
publication date: 2017-02-09T00:00:00Z
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 6682801
zbMATH Keywords: block Krylov subspace
zbMATH Keywords: block conjugate gradient least squares
zbMATH Keywords: rank deficiency
zbMATH Keywords: breakdown-free
zbMATH Keywords: deflation
zbMATH Keywords: convergence
zbMATH Keywords: numerical example
describes a project that uses: LSQR
describes a project that uses: BLAS
describes a project that uses: CRAIG
describes a project that uses: SparseMatrix
describes a project that uses: Algorithm 679
describes a project that uses: LSMR
MaRDI profile type: Publication
full work available at URL: j.cam.2016.11.031
OpenAlex ID: W2560739593
cites work: Multi-objective optimization using evolutionary algorithms
cites work: Parallel implementation of the block conjugate gradient algorithm
cites work: Block Gram–Schmidt Orthogonalization
cites work: Algorithm 679: A set of level 3 basic linear algebra subprograms: model implementation and test programs
cites work: The Use of BLAS3 in Linear Algebra on a Parallel Processor with a Hierarchical Memory
cites work: Stability of block algorithms with fast level-3 BLAS
cites work: The N‐Step Iteration Procedures
cites work: Methods of conjugate gradients for solving linear systems
cites work: Q4917542
cites work: LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
cites work: LSMR: An Iterative Algorithm for Sparse Least-Squares Problems
cites work: Solution of Sparse Indefinite Systems of Linear Equations
cites work: Q4091368
cites work: Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems
cites work: The block conjugate gradient algorithm and related methods
cites work: Exact and inexact breakdowns in the block GMRES method
cites work: A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
cites work: A Stabilized QMR Version of Block BiCG
cites work: Block GMRES Method with Inexact Breakdowns and Deflated Restarting
cites work: Variable Block CG Algorithms for Solving Large Sparse Symmetric Positive Definite Linear Systems on Parallel Computers, I: General Iterative Scheme
cites work: The block grade of a block Krylov space
cites work: A framework for deflated and augmented Krylov subspace methods
cites work: An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
cites work: A Deflated Version of the Conjugate Gradient Algorithm
cites work: Deflation of Conjugate Gradients with Applications to Boundary Value Problems
cites work: Conjugate gradient method with preconditioning by projector
cites work: Restarted GMRES preconditioned by deflation
cites work: A Restarted GMRES Method Augmented with Eigenvectors
cites work: Nested Krylov methods based on GCR
cites work: Eigenvalue translation based preconditioners for the GMRES(k) method
cites work: Deflated and Augmented Krylov Subspace Methods: A Framework for Deflated BiCG and Related Solvers
cites work: The university of Florida sparse matrix collection
cites work: Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
cites work: The block least squares method for solving nonsymmetric linear systems with multiple right-hand sides
DOI: 10.1016/J.CAM.2016.11.031
description: scientific article; zbMATH DE number 6682801