ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
No. 6. Vol. 24. 2018

DOI: 10.17587/it.24.363-370

M. M. Gourary, Ph.D., e-mail: gourary@ippm.ru, S. G. Rusakov, D. Sc. Profes., e-mail: rusakov@ippm.ru, S. L. Ulyanov, D. Sc., e-mail: ulyas@ippm.ru, Ì. Ì. Zharov, Ph.D., e-mail: zarov@ippm.ru, Institute for Design Problems in Microelectronics RAS

The Iterative Method for Solving Parameterized System of Linear Equations with Multiple Right Hand Sides

The problem of solving a system of linear equations with multiple right hand sides and matrix dependent on the parameter is considered. The iterative method with reuse of the previous results of matrix vector multiplications is suggested. The method provides the reduction of computational efforts and decrease of matrix-vector multiplications due to reuse of computed vectors. The proposed method is a generalization of known Krylov subspace algorithms. The application of proposed algorithms for periodic small-signal analysis of nonlinear electronic circuits is shown.
Keywords: system of linear algebraic equations, linear transform, orthogonalization, iterative methods, Krylov subspace, approximate solution

P. 363–370

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