Cyclic heptadiagonal matrices;
Anti-cyclic heptadiagonal matrices;
LU factorization;
Determinants;
Inverse matrix;
Linear systems;
Computer Algebra System(CAS);
DIAGONAL LINEAR-SYSTEMS;
COMPUTATIONAL ALGORITHM;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In the current work, the author present a symbolic algorithm for finding the determinant of any general nonsingular cyclic heptadiagonal matrices and the inverse of anti-cyclic heptadiagonal matrices. The algorithms are mainly based on the work presented in [A. A. KARAWIA, A New algorithm for inverting general cyclic heptadiagonal matrices recursively, arXiv:1011.2306v1 [cs.SC]]. The symbolic algorithms are suited for implementation using Computer Algebra Systems (CAS) such as MATLAB, MAPLE and MATHEMATICA. An illustrative example is given.
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Univ Regina, Dept Comp Sci, Regina, SK S4S 0A2, CanadaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Jia, Jiteng
Li, Sumei
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机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China