论文标题
用于评估n-ther阶三对抗决定因素的混合数值算法
A Hybrid Numerical Algorithm for Evaluating n-th Order Tridiagonal Determinants
论文作者
论文摘要
三角基矩阵的主要未成年人满足了两项和三项复发[1，2]。基于这些事实，当前的文章提出了一种新的有效且可靠的混合数值算法，用于评估线性时间内的一般n阶三阶三对角决定因素。混合数值算法避免了所有符号计算。该算法适用于使用计算机语言，例如Fortran，Pascal，Algol，Maple，MacSyma和Mathematica。给出了一些说明性的例子。测试结果表明杂交数值算法的优越性。
The principal minors of a tridiagonal matrix satisfy two-term and three-term recurrences [1, 2]. Based on these facts, the current article presents a new efficient and reliable hybrid numerical algorithm for evaluating general n-th order tridiagonal determinants in linear time. The hybrid numerical algorithm avoid all symbolic computations. The algorithm is suited for implementation using computer languages such as FORTRAN, PASCAL, ALGOL, MAPLE, MACSYMA and MATHEMATICA. Some illustrative examples are given. Test results indicate the superiority of the hybrid numerical algorithm.
