E-resources
Peer reviewed
-
Yin, Feng; Huang, Guang-Xin
Applied mathematics and computation, 05/2013, Volume: 219, Issue: 17Journal Article
The left and right inverse eigenvalue problem, which mainly arises in perturbation analysis of matrix eigenvalue and recursive matters, has some practical applications in engineer and scientific computation fields. In this paper, we give the solvability conditions of and the general expressions to the left and right inverse eigenvalue problem for the (R,S)-symmetric and (R,S)-skew symmetric solutions. The corresponding best approximation problems for the left and right inverse eigenvalue problem are also solved. That is, given an arbitrary complex n-by-n matrix A∼, find a (R,S)-symmetric (or (R,S)-skew symmetric) matrix AA∼ which is the solution to the left and right inverse eigenvalue problem such that the distance between A∼ and AA∼ is minimized in the Frobenius norm. We give an explicit solution to the best approximation problem in the (R,S)-symmetric and (R,S)-skew symmetric solution sets of the left and right inverse eigenvalue problem under the assumption that R=R∗ and S=S∗. A numerical example is given to illustrate the effectiveness of our method.
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|
Source: Personal bibliographies
and: SICRIS
The material is available in full text. If you wish to order the material anyway, click the Continue button.