2013•Journal of Sichuan University of Science & EngineeringRequires access

Cubic PE_k Method for Solving a System of Block Tridiagonal Equation

LI Liu-fen

Abstract

Cubic PEK method is proposed for solving a system of linear equations whose coefficient matrix is block tridiagonal matrix.And the solubility and convergency of the cubic PEk method are analyzed when the coefficient matrix is Hermitian positive definite matrix.Finally the range of optimal parameter is estimated in the numerical experiment.Compared with the SBGS and Jacobi method,the effectiveness of new algorithm is verified.

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Key concepts: Tridiagonal matrix, Coefficient matrix, Tridiagonal matrix algorithm, Mathematics, Matrix (chemical analysis), Block matrix, Block (permutation group theory), Hermitian matrix