In this paper, we first give the existence of and the general expression for the solution to an inverse eigenproblem defined as follows: given a set of real n-vectors {x i } m i=1 and a set of real numbers {Ξ» i } m i=1 , and an n-by-n real generalized reflexive matrix A (or generalized antireflexive
Generalized reflexive solutions of the matrix equation and an associated optimal approximation problem
β Scribed by Yongxin Yuan; Hua Dai
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 294 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
C nΓn be nontrivial unitary involutions, i.e.,
π SIMILAR VOLUMES
An n Γ n complex matrix P is said to be a generalized reflection matrix if P H = P and P 2 = I . An n Γ n complex matrix A is said to be a reflexive (or anti-reflexive) matrix with respect to the generalized reflection matrix P if A = P AP (or A = -P AP ). This paper establishes the necessary and su
In this paper, an iterative method is constructed to solve the linear matrix equation AXB = C over skew-symmetric matrix X. By the iterative method, the solvability of the equation AXB = C over skew-symmetric matrix can be determined automatically. When the equation AXB = C is consistent over skew-s