The PEk Algorithm of Solving the Quasi-Block Tridiagonal Systems

In this paper, the PEk 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 parameter...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1213; no. 3
Main Authors Xuefei, Lu, Fengjuan, Dong
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.06.2019
Subjects
Algorithms
Linear algebra
Mathematical analysis
Matrices (mathematics)
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Summary:In this paper, the PEk 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