Elimination on sparse symmetric systems of a special structure

Jitka Segethová

Displaying similar documents to “Elimination on sparse symmetric systems of a special structure”

Optimization algorithm for finding solutions in linear programming problems.

Popoviciu, Ioan (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Inversion of square matrices in processors with limited calculation abillities

Krzysztof Janiszowski (2003)

International Journal of Applied Mathematics and Computer Science

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An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced...

A polynomial time spectra decomposition test for certain classes of inverse M-matrices.

Stuart, Jeffrey L. (1998)

ELA. The Electronic Journal of Linear Algebra [electronic only]

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Pivoting algorithm in class of ABS methods

Gabriela Kálnová (1996)

Archivum Mathematicum

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Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.

The recurrent calculation of the inversion of a special class of matrices

František Mikloško (1978)

Banach Center Publications

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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...