QR-factorization of partitioned matrices. Solution of large systems of linear equations with non-definite coefficient matrices

DOI10.1016/0045-7825(74)90023-1zbMath0278.65041OpenAlexW1576940757MaRDI QIDQ1394087

O. E. Brønlund, Th. Lunde Johnsen

Publication date: 1974

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(74)90023-1

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25)

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An overview of parallel algorithms for the singular value and symmetric eigenvalue problems, On systems of linear equations of the form \(A^tAx=b\); error analysis and certain consequences for structural applications, QR-factorization of partitioned matrices. Solution of large systems of linear equations with non-definite coefficient matrices, An accelerated subspace iteration method, Orthosymmetric block reflectors, The natural factor formulation of the stiffness for the matrix displacement method, A new formulation of the hypermatrix Householder-QR decomposition, On the efficient and accurate solution of the skew-symmetric eigenvalue problem, Finite element method - The natural approach, The generalized Householder transformation and sparse matrices, Hypermatrix generalization of the Jacobi- and Eberlein-method for computing eigenvalues and eigenvectors of Hermitian or non-Hermitian matrices

Cites Work

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• QR-factorization of partitioned matrices. Solution of large systems of linear equations with non-definite coefficient matrices
• Hypermatrix generalization of the Jacobi- and Eberlein-method for computing eigenvalues and eigenvectors of Hermitian or non-Hermitian matrices
• Computational aspects of F. L. Bauer's simultaneous iteration method
• Hypermatrix solution of larg e sets of symmetric positive-definite linear equations
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Organizing matrices and matrix operations for paged memory systems
• Potential flow analysis by finite elements
• Basis of finite element methods for solid continua