1984•Okayama University Scientific Achievement Repository (Okayama University)Open access

Error Analysis of Band Matrix Method

Takeo Taniguchi, Akira Soga

Abstract

Numerical error in the solution of the band matrix method based on the elimination method in single precision is investigated theoretically and experimentally, and the behaviour of the truncation error and the roundoff error is clarified. Some important suggestions for the useful application of the band solver are proposed by using the results of above error analysis.

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Available abstract

Key concepts: Round-off error, Truncation error, Error analysis, Matrix (chemical analysis), Algorithm, Truncation (statistics), Computer science, Applied mathematics