Name
Abstract | ||
|---|---|---|
This paper studies a general inverse eigenvalue problem which generalizes many well-studied pole placement and matrix extension problems. It is shown that the problem corresponds geometrically to a so-called central projection from some projective variety. The degree of this variety represents the number of solutions the inverse problem has in the critical dimension. We are able to compute this degree in many instances, and we provide upper bounds in the general situation. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1137/S0363012999354429 | SIAM J. Control and Optimization |
Keywords | Field | DocType |
matrix completion problems,matrix extension problems,problem corresponds,common point,paper study,matrix extension problem,critical dimension,inverse problem,upper bound,pole placement and inverse eigenvalue problems,degree of a projective variety,general inverse eigenvalue problem,projective variety,general situation,grassmann varieties,pole placement,so-called central projection,generalized inverse | Inverse,Mathematical optimization,Critical dimension,Projective variety,Full state feedback,Matrix (mathematics),Mathematical analysis,Inverse problem,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
42 | 6 | 0363-0129 |
Citations | PageRank | References |
7 | 0.70 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Meeyoung Kim | 1 | 7 | 0.70 |
| J. Rosenthal | 2 | 372 | 38.86 |
| Xiaochang A. Wang | 3 | 22 | 5.95 |