Least squares solution of the quaternion matrix equation with the least norm
โ Scribed by Yuan, Shifang; Liao, Anping
- Book ID
- 115459730
- Publisher
- Taylor and Francis Group
- Year
- 2011
- Tongue
- English
- Weight
- 156 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0308-1087
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Based on the projection theorem m Hfibert space, by making use of the generahzed singular value decompomtion and the canomcal correlation decomposition, an analytical expression of the least-squares solutmn for the matrix equatmn (AXB, GXH) = (C, D) with the minimum-norm is derived An algorithm for
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
For a complex matrix equation AX B = C, we solve the following two problems: (1) the maximal and minimal ranks of least square solution X to AX B = C, and (2) the maximal and minimal ranks of two real matrices X 0 and X 1 in least square solution X = X 0 + iX 1 to AX B = C. We also give a necessary
We in this paper first establish a new expression of the general solution to the consistent system of linear quaternion matrix equations A