1) anti-bisymmetric matrix
双反对称矩阵
1.
In this paper, we consider two problems, the expansion of anti-bisymmetric matrix andits optimal approximation with the linear constraint and the anti-bisymmetric optimalapproximation solution of matrix equation AX = B.
本文主要研究了两个方面的内容:线性约束下双反对称矩阵扩充及其最佳逼近;矩阵方程AX = B的双反对称最佳逼近解。
2) bisymmetric matrix
双对称矩阵
1.
In this paper,the inversable matrix solution of a kind of real matrix equation X~△AX=A is considered,where A is a inversable bisymmetric matrix,X~△is bisymmetric transposed matrix of X,and their general solution forms are derived; the bisymmetric solution of a kind of real matrix equation XAX=A is considered,and their general solution forms are derived too.
本文讨论了实矩阵方程X~△AX=A(A为非退化实双对称矩阵,X~△为X的双转置矩阵)的非退化解问题,并给出一般解的形式;同时讨论了实矩阵方程XAX=A的双对称解问题,并给出了一般解的形式。
2.
By this iterative method,the least squares bisymmetric solution can be obtained within finite iterative steps in the absence of round off errors,and the solution with least norm can be got by choosing a special initial bisymmetric matrix.
同时,也能够给出指定矩阵的最佳逼近双对称矩阵。
3.
This paper has discussed the generalized inverse eigenvalue problem of centrosymmetric matrix,anti-centrosymmetric matrix and bisymmetric matrix.
本文讨论了在谱约束条件下中心对称矩阵、反中心对称矩阵和双对称矩阵的一般化逆特征值问
3) bisymmetric matrices
双对称矩阵
1.
Least-square solutions of inverse problems for bisymmetric matrices;
一类双对称矩阵反问题的最小二乘解
2.
Least-squares solution for the inverse problem of real matrices、symmetric matrices and bisymmetric matrices are studied in this thesis.
本文研究了子阵约束下实矩阵、实对称矩阵和双对称矩阵反问题的最小二乘解,全文主要包括以下内容。
3.
thesis and mainly discuss the following problems:What we mainly discussed in the second chapter as follows:(1) S1,S2 are sets of symmetric orth-symmetric matrices;(2) S1,S2 are sets of bisymmetric matrices;(3) S1,S2 are sets of anti-.
S_1，S_2为双对称矩阵； 3。
4) Skew-symmetric matrix
反对称矩阵
1.
Skew - tripotent preserving linear operators from skew-symmetric matrix spaces to all matrix spaces;
反对称矩阵空间到全矩阵空间的保反立方幂等线性算子
2.
The importance of skew-symmetric matrix computation is pointed out for optimalcontrol,structural mechanics and wave propagation problems first, then the close relationbetween skew-symmetric matrix and the symplectic geoinetry is explained.
本文讨论反对称矩阵的数值计算问题。
3.
Every real skew-symmetric matrix B admits Cholesky-like factorizations B=R~T J R,where J=(0 (-I) I 0),R is a permuted triangular matrix.
设实反对称矩阵B的Cholesky-like分解为B=R~TJR,其中J=(0 (-I) I 0),R是上三角矩阵的重排。
5) anti-symmetric matrix
反对称矩阵
1.
Various properties of symmetric matrix and anti-symmetric matrix;
对称矩阵和反对称矩阵的若干性质
2.
In this paper,the concept of anti-symmetric matrix is given.
给出了反对称矩阵的概念,讨论了它的行列式、特征值、合同标准形以及秩等方面的性质和一些重要结果。
6) antisymmetric matrix
反对称矩阵
1.
One is to transform the 7 parameters model to 4 parameters model by eliminating translation 3 parameters;the other is to replace 3 rotation angles of rotation matrix with antisymmetric matrix 3 independent elements.
采取了两步措施简化三维坐标转换非线性模型:①旋转矩阵的3个旋转角用一个反对称矩阵的3个独立元素代替,将旋转矩阵由反对称矩阵构成Lodrigues矩阵;②将坐标转换7参数模型变换成基线向量模型,消去平移3参数。
补充资料：反对称波函数
分子式：
CAS号：
性质：满足反对称性的波函数。对于电子体系而言，波函数对于电子坐标的交换必须是反对称的，否则计算得到的结果并不能正确地反映电子间的费米相关，即相同自旋取向的电子的运动是相互制约的这个事实。利用斯莱特行列式波函数或用反对称化算符作用在试探函数上就可得到反对称波函数。
CAS号：
性质：满足反对称性的波函数。对于电子体系而言，波函数对于电子坐标的交换必须是反对称的，否则计算得到的结果并不能正确地反映电子间的费米相关，即相同自旋取向的电子的运动是相互制约的这个事实。利用斯莱特行列式波函数或用反对称化算符作用在试探函数上就可得到反对称波函数。
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