When a unique decomposition of a complex rectangular matrix into two components is given, then a partial ordering on the domain of one of the components induces a preordering on the whole set of matrices, and partial orderings on the domains of both components induce a partial ordering on ...
We present new results on the ϕJ polar decomposition of matrices. We show that every symplectic matrix may be written as a product of symplectic operation matrices. We present a simple form attained under symplectic equivalence, which makes it easy to determine if a matrix does not have a ...
By a generalized polar decomposition of an m×n matrix A, it is meant that A can bedecomposed as A=QH, where Q is an m×n subunitary matrix, and H is a Hermite positivesemidefinite matrix. In this paper, the uniqueness theorem of generalized polar decomp
1) polar decomposition 极式分解2) polar decomposition 极分解 1. Focus matrix is constructed by polar decomposition of location matrix and transforms signal sub space at different frequency bins to signal sub space at focusing frequency bin. 通过对方向矩阵进行极分解构造聚焦矩阵,把各个窄带频率处的...
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matricesCosserat theoryGrioli's theorem(non-symmetric) matrix square rootmicropolar mediapolar decompositionrelaxed-polar decomposition
It is proved, in particular, that every normal matrix with respect to an indefinite inner product defined by an invertible Hermitian matrix having at most two negative (or at most two positive) eigenvalues, admits a polar decomposition. Previously known descriptions of indecomposable normals in ...
摘要: The concept of scattering is one of the mechanisms that polarimetry seeks to express through data. A multiplicative decomposition of the scattering matrix is proposed in order to try to separate different kind of scattering and the applicability to polarimetric SAR images is investigated...
- 《Siam Journal on Matrix Analysis & Applications》 被引量: 52发表: 1997年 Errata for: Polar decomposition in finite dimensional indefinite scalar product spaces: Special cases and applications Rodman. Extension of isometries in finite-dimensional indefinite scalar product spaces and polar ...
1) Weighted Polar Decomposition of Matrices 矩阵加权极分解 1. Research on Weighted Generalized Inverses andWeighted Polar Decomposition of Matrices 针对这个新的矩阵分解,我们证明了其唯一性定理,给出了其唯一性条件,讨论了其极因子的最佳逼近性质;同时,我们还探讨了矩阵加权极分解的计算问题,研究了由迭代算法引...
Matrix exponentialWe show that the unitary factor U"p in the polar decomposition of a nonsingular matrix Z=U"pH is a minimizer for both@?Log(Q^@?Z)@?and@?sym"@?(Log(Q^@?Z))@? over the unitary matrices Q@?U(n) for any given invertible matrix Z@?C^n^x^n, for any unitar...