5) skew hermitian matrix 斜埃尔米德矩阵6) anti-Hermitian generalized anti-Hamiltonian matrices 反埃尔米特广义反汉密尔顿矩阵 1. Using the properties of anti-Hermitian generalized anti-Hamiltonian matrices and decomposition theory of matrix,we obtained a general expression of the least-squares solutions...
Let I H-n be the set of n x n skew-Hermitian matrices over D. If H-1, H-2 is an element of I H-n (D) and rank (H-1 - H-2) = 1, H-1 and H-2 are said to be adjacent. The fundamental theorem of the geometry of skew-Hermitian matrices over D is proved: Let n ...
Weakly invariant norms: geometry of spheres in the space of skew-Hermitian matricesAdjoint actionConvex setFinsler normMajorization G Larotonda,I Rey - 《Linear Algebra & Its Applications》 被引量: 0发表: 2023年 Geometry of Matrices of L. K. Hua (4) the geometry of hermitian matrices over ...
Define skew symmetry. skew symmetry synonyms, skew symmetry pronunciation, skew symmetry translation, English dictionary definition of skew symmetry. n symmetry of top left with bottom right, and top right with bottom left Collins English Dictionary – C
Given that matrices are skew-symmetric and skew-Hermitian matrices. 1) We have to show that the skew-symmetric matrix Ais a normal matrix... Learn more about this topic: Matrix Definition & Examples from Chapter 4/ Lesson 2 115K Matrices are powerful tools for algebra, th...
Componentwise analysis of direct factorization of real symmetric and Hermitian matrices We derive componentwise backward error bound for the factorization $H=GJG^T$, where $H$ is a real symmetric matrix, $G$ has full column rank, and $J$ is di... Ivan Slapniar - 《Linear Algebra & Its...
The positive definite matrix [M] is mass (inertia) matrix, the skew symmetric matrix [G] is gyroscopic matrix, and the non-symmetric matrices [C] and [[K].sup.nl] are called the damping and the stiffness matrices, respectively. Optimal linearization method for dynamic analysis of non-linear...
Given a complex matrix equation AXA∗=B, where B∗=±B, we present explicit formulas for the maximal and minimal ranks of Hermitian (skew-Hermitian) solutions X to the equation as well as the maximal and minimal ranks of the real matrices X0 and X1 in a Hermitian (skew-Hermitian) so...
2) skew-Hermitian skew-Hermitian矩阵3) symmetric matrix 对称矩阵 1. Determinant preserving maps on 2×2 and 3×3 symmetric matrix spaces; 三元域上2×2和3×3阶对称矩阵空间保行列式的映射 2. The unique of inverse eigenvalue problem for a symmetric matrix; 一个对称矩阵特征值反问题的唯一...
Let S be one of the following subsets of C n×n: (i) hermitian matrices; (ii) hermitian R-symmetric matrices; (iii) hermitian R-skew symmetric matrices. Given Z, W∈ C n×m, we characterize the matrices A in S that minimize ∥ AZ W∥ (Frobenius norm), and, given an arbitrary ...