Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem and related eigenproblems
Lubomír Skála (1977)
Aplikace matematiky
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Displaying similar documents to “A refined unsymmetric Lanczos eigensolver for computing accurate eigentriplets of a real unsymmetric matrix.”
Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem and related eigenproblems
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
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We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
A modified Cayley transform for the discretized Navier-Stokes equations
K. A. Cliffe, T. J. Garratt, Alastair Spence (1993)
Applications of Mathematics
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This paper is concerned with the problem of computing a small number of eigenvalues of large sparse generalized eigenvalue problems. The matrices arise from mixed finite element discretizations of time dependent equations modelling viscous incompressible flow. The eigenvalues of importance are those with smallest real part and are used to determine the linearized stability of steady states, and could be used in a scheme to detect Hopf bifurcations. We introduce a modified Cayley transform...
A case where balancing is harmful.
Watkins, David S. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Eigenvalue computations for regular matrix Sturm-Liouville problems.
Dwyer, H.I., Zettl, A. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Arnoldi-Tchebychev procedure for large scale nonsymmetric matrices
Diem Ho, Françoise Chatelin, Maria Bennani (1990)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A parallel block Lanczos algorithm and its implementation for the evaluation of some eigenvalues of large sparse symmetric matrices on multicomputers
Mario Guarracino, Francesca Perla, Paolo Zanetti (2006)
International Journal of Applied Mathematics and Computer Science
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In the present work we describe HPEC (High Performance Eigenvalues Computation), a parallel software package for the evaluation of some eigenvalues of a large sparse symmetric matrix. It implements an efficient and portable Block Lanczos algorithm for distributed memory multicomputers. HPEC is based on basic linear algebra operations for sparse and dense matrices, some of which have been derived by ScaLAPACK library modules. Numerical experiments have been carried out to evaluate HPEC...