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
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。
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。
Various properties of symmetric matrix and anti-symmetric matrix;
对称矩阵和反对称矩阵的若干性质
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。
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。
Linear maps preserving determinant on skew-symmetric matrices;
反对称矩阵空间行列式保持映射
Common Standard Form of Symmetry Matrix and Asymmetry Mabrix;
对称矩阵与反对称矩阵的合同标准形
Least-Squares Solutions of Inverse Problems for W-Para-Anti-Symmetric Matrices
W准反对称矩阵反问题的最小二乘解
Least-square Solutions of Inverse Problem for Symmetric and Skew Anti-symmetric Matrices;
对称次反对称矩阵反问题的最小二乘解
On the Diagonalization of Real Anti-Symmetric Matrix;
关于实反对称矩阵对角化问题的讨论
The Symmetric and Skew-symmetric Solution of Matrix Equation A~TXA=B on the Linear Manifold
线性流形上矩阵方程A~TXA=B的对称次反对称矩阵解
THE FULL RANK FACTORIZATION AND GENERALIZED INVERSE FOR ROW (COLUMN) ANTISYMMETRIC MATRICES
行(列)反对称矩阵的满秩分解和广义逆
The Anti-symmetric Orthogonal Anti-Symmetric Solutions of Matric Equation on the Linear Manifoid
线性流形上反对称正交反对称矩阵反问题的最小二乘解
A Generalized Lanczos Method for Solving Large Skew-symmetric Eigenproblems;
解大规模反对称矩阵特征问题的广义Lanczos方法
The square matrix is called a diagonal matrix.
该方矩阵称为对角矩阵。
The Least-squares Problem of General-symmetrizable Matrices and General-antisymmetrizable Matrices;
广义可对称化矩阵和广义可反对称化矩阵最小二乘问题
The Minimum Frobenius Norm Symmetric Solution of an Inverse Problem for Matrix Equations;
矩阵方程反问题的极小Frobenius范数对称解
Research on J-centrosymmetrices Matrix Equation Inverse Problem
J-中心对称矩阵方程反问题的研究
The Anti-bisymmetric Matrices Optimal Approximation Solution of Matrix Equation AX=B
矩阵方程AX=B的双反对称最佳逼近解
(R,S) Anti-symmetric solution of matrix equation AXB=C
矩阵方程AXB=C的(R,S)反对称解
Least-square Solutions of Inverse Problem for Symmetric Orthogonal Matrices;
对称正交对称矩阵反问题的最小二乘解
On The Generalized Bisymmetric And Generalized Anti-BisymmetriC Solutions of a Matrix Equation;
一类矩阵方程的广义双对称与广义双反对称解
The Least-squares Solution of the Inverse Problem for General-antisymmetrizable Matrix;
广义可反对称化矩阵反问题的最小二乘解
Study on Skew-Symmetric and Skew-Circulant Matrices
关于反对称反循环矩阵相关性质的研究