论文标题

用于倒数一般三角形矩阵的无分解数值算法

A Breakdown Free Numerical Algorithm for Inverting General Tridiagonal Matrices

论文作者

El-Mikkawy, Moawwad, Karawia, Abdelrahman

论文摘要

在当前的论文中,作者将两种方法链接起来,以评估一般的n-ther阶三对角决定因素。开发了一种用于计算任何NXN一般非电源三角矩阵的倒数而开发的无分解数值算法,而无需施加任何约束。该算法适用于使用任何计算机语言,例如Fortran,Python,Matlab,Maple,C,C ++,MacSyma,Algol,Pascal和Java。提出了一些说明性的例子。

In the current paper the authors linked two methods in order to evaluate general n-th order tridiagonal determinants. A breakdown free numerical algorithm is developed for computing the inverse of any nxn general nonsingular tridiagonal matrix without imposing any constrains. The algorithm is suited for implementation using any computer language such as FORTRAN, PYTHON, MATLAB, MAPLE, C, C++, MACSYMA, ALGOL, PASCAL and JAVA. Some illustrative examples are presented.

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