1) crossed tridiagonal matrix
交叉三对角矩阵
1.
The paper is concerned with some special matrices that arise in science and engineering, for example,periodic tridiagonal matrix,crossed tridiagonal matrix, Hankel matrix and Vandermonde matrix.
本文对科学计算中经常遇到的一些特殊矩阵进行研究,如周期三对角矩阵、交叉三对角矩阵、Vandermonde矩阵、Hankel矩阵等,得到了求解线性方程组、逆矩阵、三角分解等的若干算法,这些算法有些是新的,有些是对原有算法的改进或推广;也研究了对角占优矩阵Kronecker积的一些性质。
2) tridiagonal matrix
三对角矩阵
1.
Estimation on the inverse elements of a certain tridiagonal matrix;
一类三对角矩阵逆元素的估计式
2.
In this paper,an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
根据三对角矩阵的特点,给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
3.
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by sloving systems of linear algebraic equations is proposed.
根据三对角矩阵的特点 ,给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法 。
4) symmetric tridiagonal matrix
对称三对角矩阵
1.
This paper provides two FORTRAN subroutines for the two computational problems of the symmetric tridiagonal matrix (solution of the system of liner algebraic equations, and computation of the generalized eigenvalues and eigenvectors).
提供两个高效而实用的FORTRAN程序(例行子程序形式),用于对称三对角矩阵的两个计算问题(其一是线性代数方程组的求解,其二是广义特征值问题的计算)。
2.
First, an unsymmetric tridiagonal matrix T is transformed into a symmetric tridiagonal matrix T *.
首先将非对称三对角矩阵T化为对称三对角矩阵T ,对于对称三对角矩阵T 和位移σ ,给出由T 求其简化矩阵 ^T的算法。
3.
The convergence of QL algorithm with shifts for symmetric tridiagonal matrix is discussed and a sufficient condition is given by which shifts are to be chosen to make sure that the top-left diagonal elements converges to an eigenvalue of the matrix.
主要讨论了对称三对角矩阵带位移的 QL方法的收敛性问题。
5) inverse eigenproblem
三对角对称矩阵
1.
In this paper, for inverse eigenproblems with given four eigenvalues and eigenvector are considered and are given some necessary and sufficient conditions for the uniqueness of the solution.
讨论了由四个特征对构造相应的三对角对称矩阵或 Jacobi矩阵问题 ,得到了问题有唯一解的充要条件及解的表达式 ,并给出了数值例子 。
6) crossover matrix
交叉矩阵
1.
By introducing the grafted genetic algorithm, the improved algorithm uses a crossover matrix to decide the crossover probability of each individual for each generation to avoid premature convergence and has the advantage of whole search and quick convergence.
该算法引入嫁接遗传算法的基本思想,采用一个交叉矩阵来确定每一代每一个个体的交叉概率,避免了基本遗传算法过早收敛的缺点,提高了收敛性能。
补充资料：块三对角矩阵
分子式：
CAS号：
性质：一种特定形式的分块矩阵(分块矩阵的元素均为子矩阵)，矩阵的主对角线及其相邻对角线上的子矩阵为方阵，其余子矩阵为零矩阵。块三对角矩阵的运算与三对角矩阵类似。
CAS号：
性质：一种特定形式的分块矩阵(分块矩阵的元素均为子矩阵)，矩阵的主对角线及其相邻对角线上的子矩阵为方阵，其余子矩阵为零矩阵。块三对角矩阵的运算与三对角矩阵类似。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条