Eigenvalue, Inverse Matrix, Determinant of Generalized Cycle Matrix and Its Application in Computation Structures
Yao Zhang · 2003
A kind of new partitioning algorithm is presented. The algorithm solves the eigenvalue, inverse matrix and determinant of the generalized cycle matrixes and a system of linear equations with the generalized cycle coefficient matrix. The original problem is partitioned into a series of independent subproblems. Compared with the original problem, the dimensions of all these subproblems are very small. This point ensures that it has a better conditioning and gives smaller round off errors. More importantly, the technique leads to a higher efficiency of computation. Some numerical examples and application in the computation structures show that the methods are practical.