| 三对角矩阵求逆的快速算法和逆元素的表示式 |
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| 引用本文： | 沈光星.三对角矩阵求逆的快速算法和逆元素的表示式[J].应用数学学报,1995,18(4):510-517. |
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| 作者姓名： | 沈光星 |
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| 作者单位： | 杭州师范学院数学系 |
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| 摘 要： | 本文给出了ｎ阶三对角矩阵求逆的快速算法，其四则运算的计算量只要ｎ＾２＋７ｎ－８。同时给出了逆元素的表示式，从而得到逆元素的准确估计，大大拓广和改进了［２］、［３］的结果。
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| 关 键 词： | 三对角矩阵 逆矩阵 快速算法 逆元素 矩阵 |
THE FAST ALGORITHM FOR INVERTING A TRIDIAGONAL MATRIX AND THE EXPRESSION ON THE ELEMENTS OF THE INVERSE TRIDIAGONAL MATRIX |
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| SHEN GUANGXING.THE FAST ALGORITHM FOR INVERTING A TRIDIAGONAL MATRIX AND THE EXPRESSION ON THE ELEMENTS OF THE INVERSE TRIDIAGONAL MATRIX[J].Acta Mathematicae Applicatae Sinica,1995,18(4):510-517. |
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| Authors: | SHEN GUANGXING |
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| Abstract: | In this paper, we give the fast algorithm for inverting a tridiagonal matrix of n order. Its calculating quantity of arithmetic operation is only n2 7n-8. At the same time, we give the expression on the elements of the inverse tridiagonal matrix, on which we get exact estimate. It greatly expands and improves the results of 2], 3]. |
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| Keywords: | Thidiagonal matrix inverse matrix fast algorithm elements of inverse matrix expression |
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