𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices

✍ Scribed by Mao-lin Liang; Li-fang Dai


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
283 KB
Volume
234
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


Let n Γ— n complex matrices R and S be nontrivial generalized reflection matrices, i.e.


πŸ“œ SIMILAR VOLUMES


An inverse eigenproblem and an associate
✍ Guang-Xin Huang; Feng Yin πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 230 KB

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

Perturbation of null spaces with applica
✍ Konstantin E. Avrachenkov; Moshe Haviv πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 208 KB

We consider properties of a null space of an analytically perturbed matrix. In particular, we obtain Taylor expansions for the eigenvectors which constitute a basis for the perturbed null space. Furthermore, we apply these results to the calculation of Puiseux expansion of the perturbed eigenvectors