A New Algorithm for General Cyclic Heptadiagonal Linear Systems Using Sherman-Morrison-Woodbury formula

作者：Karawia A A^*

来源：Ars Combinatoria, 2013, 108: 431-443.

• Cyclic heptadiagonal matrices
• LU factorization
• Determinants
• Inverse matrix
• Sherman-Morrison-Woodbury formula
• Linear systems
• Computer Algebra System(CAS)

In this paper, a new efficient computational algorithm is presented for solving cyclic heptadiagonal linear systems based on using the heptadiagonal linear solver and Sherman-Morrison-Woodbury formula. The implementation of the algorithm using computer algebra systems (CAS) such as MAPLE and MATLAB is straightforward. Two numerical examples are presented for illustration.

• 出版日期2013-1