| 一类拟Hamilton型矩阵的方程组问题与求解算法 |
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| 引用本文： | 周钢 王纪林. 一类拟Hamilton型矩阵的方程组问题与求解算法[J]. 上海交通大学学报, 1995, 29(3): 88-93 |
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| 作者姓名： | 周钢 王纪林 |
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| 摘 要： | 本文主要讨论了拟Ｈａｍｉｌｔｏｎ型矩阵的方程组问题及其顺序Ｇａｕｓｓ消去法，建立了判别这类矩阵非奇异的充要条件和若干特征值估计式，文中结果可用于最优控制，不定常粘性流体力学，非线性电路，大板壳力学等工程领域中的数值分析。
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| 关 键 词： | 矩阵 线性方程组 可解性 拟哈密顿型 |
A Class of Linear Systems with Quasi-Hamilton Coefficient Matrix and Their Gauss Algorithms |
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| Zhou Gang, Wang Jilin. A Class of Linear Systems with Quasi-Hamilton Coefficient Matrix and Their Gauss Algorithms[J]. Journal of Shanghai Jiaotong University, 1995, 29(3): 88-93 |
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| Authors: | Zhou Gang Wang Jilin |
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| Affiliation: | Zhou Gang; Wang Jilin |
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| Abstract: | A class of linear systems with quasi-Hamilton coefficient matrix and their sequential Gauss eliminating algorithms are discussed in this paper. A sufficient and necessary criterion distinguishing singularity or nonsingularity for this class of matrices and some evaluating expressions of eigenvalues are established. The results can be applied to numerical analysis of some engineering domains such as optimal control, nonstationary viscous fluid mechanics, nonlinear circuit and plate-shell mechanics. |
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| Keywords: | quasi-Hamilton matrix linear systems Gauss eliminating method |
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