Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices

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Abstract

Systems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear algebra where finding the solution of such a system of linear algebraic equations is considered to be one of the most important problems. This paper presents a generalised symbolic algorithm for solving systems of linear algebraic equations with multi-diagonal coefficient matrices. The algorithm is given in a pseudocode. A theorem which gives the condition for correctness of the algorithm is formulated and proven. Formula for the complexity of the multidiagonal numerical algorithm is obtained.

About the authors

Veneva Milena

Joint Institute for Nuclear Research; RIKEN Center for Computational Science, R-CCS

Author for correspondence.
Email: milena.p.veneva@gmail.com
ORCID iD: 0000-0002-6421-4716

Master of Sciences in Applied Mathematics

6 Joliot-Curie St, Dubna, Moscow Region, 141980, Russian Federation; 7-1-26 Minatojima-minami-machi, Chuo-ku, Kobe, Hyogo 650-0047, Japan

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