The PE k Algorithm of Solving the Quasi-Block Tridiagonal Systems

Abstract In this paper, the PE k method of solving special linear algebraic systems-block quasi-tridiagonal systems is presented. On the condition that the coefficient matrix is Hermitian positive definite, the solvability and convergence of the new method are proved, and the selection range for the...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1213; no. 3; p. 32003
Main Authors Xuefei, Lu, Fengjuan, Dong
Format Journal Article
LanguageEnglish
Published 01.06.2019
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Summary:Abstract In this paper, the PE k method of solving special linear algebraic systems-block quasi-tridiagonal systems is presented. On the condition that the coefficient matrix is Hermitian positive definite, the solvability and convergence of the new method are proved, and the selection range for the parameters k is also given.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1213/3/032003