2018
DOI: 10.26456/mmg/2018-633
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Symbolic Algorithm for Solving SLAEs with Heptadiagonal Coefficient Matrices

Abstract: This paper presents a symbolic algorithm for solving band matrix systems of linear algebraic equations with heptadiagonal coefficient matrices. The algorithm is given in pseudocode. A theorem which gives the condition for the algorithm to be stable is formulated and proven.

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Cited by 1 publication
(2 citation statements)
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“…One possible approach to this problem is the symbolic algorithms. An overview of some of the symbolic algorithms which exist in the literature is done by us in [1]. What is common for all of them, is that they are implemented using Computer Algebra Systems (CASs) such as Maple, Mathematica, and Matlab.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…One possible approach to this problem is the symbolic algorithms. An overview of some of the symbolic algorithms which exist in the literature is done by us in [1]. What is common for all of them, is that they are implemented using Computer Algebra Systems (CASs) such as Maple, Mathematica, and Matlab.…”
Section: Introductionmentioning
confidence: 99%
“…Three direct symbolic algorithms for solving a SLAE based on LU decomposition are considered: for HD matrices (see [2] and [1]) -SHDM, for PD [3] -SPDM, and TD matrices [4] -STDM. The only assumption on the coefficient matrix is nonsingularity.…”
Section: Introductionmentioning
confidence: 99%