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 {ฮป i } m i=1 , and an n-by-n real generalized reflexive matrix A (or generalized antireflexive
A class of constrained inverse eigenproblem and associated approximation problem for skew symmetric and centrosymmetric matrices
โ Scribed by Xiao-ping Pan; Xi-yan Hu; Lei Zhang
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 216 KB
- Volume
- 408
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
## Abstract The problem of generating a matrix __A__ with specified eigenโpair, where __A__ is a symmetric and antiโpersymmetric matrix, is presented. An existence theorem is given and proved. A general expression of such a matrix is provided. We denote the set of such matrices by ๐ฎ๐๐ฎ~E~^__n__^. Th
## Abstract In the numerical modelling of mechanical systems, eigenvalue problems occur in connection with the evaluation of resonance frequencies, buckling modes and other more esoteric calculations. The matrices whose eigenvalues are sought sometimes have a skewโsymmetric component and the presen