Suinmary. Paired operators T = d , P + A 2 & on a HILBERT spzce are studied where P is a projector, P+Q = I , and the coefficients are linear invertible operators. The MOORE-PENXOSE inverse of T can be obtained explicitly from a factorization of the coefficients, which is equivalent to the normal so
Parsimonious Least Norm Approximation
โ Scribed by P.S. Bradley; O.L. Mangasarian; J.B. Rosen
- Book ID
- 110369485
- Publisher
- Springer US
- Year
- 1998
- Tongue
- English
- Weight
- 321 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0926-6003
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The determination of an approximate greatest common divisor (GCD) of two inexact polynomials f = f (y) and g = g(y) arises in several applications, including signal processing and control. This approximate GCD can be obtained by computing a structured low rank approximation S \* (f, g) of the Sylves
In this paper we consider the solution of linear least squares problems min x Ax -b 2 2 where the matrix A โ R mรn is rank deficient. Put p = min{m, n}, let ฯ i , i = 1, 2, . . . , p, denote the singular values of A, and let u i and v i denote the corresponding left and right singular vectors. Then