A descent approach to a class of inverse problems
β Scribed by P.S. Krishnaprasad; Richard Barakat
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 418 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we first give the representation of the general solution of the following inverse monic quadratic eigenvalue problem (IMQEP): given matrices Ξ = diag{Ξ» 1 , . . . , Ξ» p } β C pΓp , Ξ» i ΜΈ = Ξ» j for i ΜΈ = j, i, j = 1, . . . , p, X = [x 1 , . . . , x p ] β C nΓp , rank(X ) = p, and both Ξ
We present a probabilistic approach to studying the descent statistic based upon a two-variable probability density. This density is log concave and, in fact, satisfies a higher order concavity condition. From these properties we derive quadratic inequalities for the descent statistic. Using Fourier