hermitian conjugate 【化】 厄米共轭 相似单词 hermitian 【化】 厄米; 厄米的 Hermitian conjugate[数](矩阵的)厄密共轭 skew a. 斜的,歪的 n. 歪斜,扭曲 v. 1.[I]歪斜,扭曲 2.[T]使歪斜,曲解 matrix n. 1.【数学】矩阵 2.(人或社会成长发展的)社会环境,政治局势 3.线路网,道路网 4.【术...
skew-Hermitian matrixHermitian positive definite matrixsemidefinite optimizationinterior-point methodsIn this paper, we present several matrix trace inequalities on Hermitian and skew-Hermitian matrices, which play an important role in designing and analyzing interior-point methods (IPMs) for semidefinite ...
网络斜厄米特矩阵;反埃尔米特矩阵 网络释义
HSS iteration method Matrix equations Convergence 1. Introduction In this paper, we consider the following linear matrix equation: (1)AXB=C, where A,B, and C∈Cn×n. Assume that (A1) A,B,C are large and sparse matrices; (A2) at least one of A and B is non-Hermitian; (A3) both...
Then the problem of solving the least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equation AXB ?=? C can be transformed into particular real linear system using these special structures. We deduce the form of all least-squares bihermitian and skew bihermitian ...
matrix ∈C~(n×n),we present the optimal approximate solution ∈C~(n×n) such that ‖ - ‖is minimized in the Frobenius norm sense.If the matrix equation AX = B is not consistent,its least-squares skew-Hermitian {P,k+1}(skew-) Hamiltonian solutions are given.Under the least-square ...
The condition for a matrix to be skew-symmetric isMT=−M, whereMTis the transpose ofM. If the entries/elements of two matrices are the same, then the matrices are equivalent. Answer and Explanation:1 Consider the matrixA, which is ...
Answer to: Prove the given theorem: For any square matrix A with real number entries, A+A' is a symmetric matrix and A-A' is a skew-symmetric...
Skew-HermitianWe show that the c-numerical range of a non-scalar skew-Hermitian quaternion matrix is convex. In fact, included in our result is that the c-numerical range of a skew-Hermitian matrix is a rotation invariant subset of the quaternions with zero real parts....
On Hermitian and Skew-Hermitian Matrix Algebras over Octonionsdoi:10.2991/jnmp.k.200922.011MATRICES (Mathematics)ALGEBRAWe prove simplicity of algebras in the title, and compute their δ-derivations and symmetric associative forms.Zohrabi, ArezooZusmanovich, PashaJournal of Nonli...