Characterization of Hermitian and skew-Hermitian maps between matrix algebrasLet D be a division ring with an involution J such that D is finite-dimensional over its center Z and char D≠2. Let T: M m( D)→ M n( D) be a Z-linear map between matrix rings over D. We show that T...
23. Skew Hermitian Matrix A is skew hermitian if A†=−A. 24. Unitary Matrix A square matrix A such that AA†=A†A=I. 25. Sparse Matrix A matrix which has a large number of elements which are equal to zero. 26. Dense Matrix A matrix which has relatively few elements equal ...
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Since real matrices are unaffected by complex conjugation, a real matrix that is skew-symmetric is also skew-Hermitian. For example, the matrix A=[01−1 0] is both skew-Hermitian and skew-symmetric. The eigenvalues of a skew-Hermitian matrix are purely imaginary or zero....
skew symmetric matrix 反对称矩阵 skew at v. 斜视 on the skew adv.歪斜地 Hermitian kernel 厄密核 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...
First we study the special structures of quaternion bihermitian and skew bihermitian matrices. 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 ...
Hermitian and skew-Hermitian splittingthe generalized Lyapunov equationIn this paper, we propose the generalized modified Hermitian and skew-Hermitian splitting (GMHSS) approach for computing the generalized Lyapunov equation. The GMHSS iteration is convergent to the unique solution of the generalized ...
is both skew-Hermitian and skew-symmetric. The eigenvalues of a skew-Hermitian matrix are purely imaginary or zero. Extended Capabilities C/C++ Code Generation Generate C and C++ code using MATLAB® Coder™. Thread-Based Environment Run code in the background using MATLAB®backgroundPoolor ...
C. P. Pan, On generalized preconditioned Her- mitian and skew-Hermitian splitting methods for saddle point problems, WSEAS Transactions on Mathematics, vol.11,2012, pp.1147-1156.J.-F. Yin and Q.-Y. Dou, "Generalized preconditioned Hermi- tian and skew-Hermitian splitting methods for non-...
matrix;skew-Hermitian matrix;matrixsplitting;HSS iteration;convergence 1.Introduction Manyproblemsinscientificcomputingareoftennecessarytosolveasystemoflinear equations Ax=b,(1.1) whereAisanon-Hermitianandpositivedefinitematrix,xisanunknownvectorand bisagivenvector.Usingtheiterationmethodsforsolving(1.1),usual...