## By using complex representation and GSVD of quaternion matrices, we define the norm of quatemion matrices, study the equality constrained least squares problem of quatemion matrices, give the necessary and sufficient conditions for the quatemion equality constrained least squarea problem to hav
A new technique of quaternion equality constrained least squares problem
โ Scribed by Tongsong Jiang; Jianli Zhao; Musheng Wei
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 130 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
By means of complex representation of a quaternion matrix, we study the relationship between the solutions of the quaternion equality constrained least squares problem and that of complex equality constrained least squares problem, and obtain a new technique of finding a solution of the quaternion equality constrained least squares problem.
๐ SIMILAR VOLUMES
We present some perturbation results for least squares problems with equality constraints. Relative errors are obtained on perturbed solutions and Lagrange multipliers of the problem, based on the equivalence of the problem to a consistent system of linear equations.
The least squares solution of a complex linear equation is in general a complex vector with independent real and imaginary parts. In certain applications in magnetic resonance imaging, a solution is desired such that each element has the same phase. A direct method for obtaining the least squares so