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
Least squares Hermitian solution of the matrix equation with the least norm over the skew field of quaternions
โ Scribed by Shifang Yuan; Anping Liao; Yuan Lei
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 249 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-7177
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๐ SIMILAR VOLUMES
We in this paper first establish a new expression of the general solution to the consistent system of linear quaternion matrix equations A
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
In this paper, an iterative algorithm is constructed to solve the minimum Frobenius norm residual problem: min over bisymmetric matrices. By this algorithm, for any initial bisymmetric matrix X 0 , a solution X \* can be obtained in finite iteration steps in the absence of roundoff errors, and the