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An algebraic technique for total least squares problem in quaternionic quantum theory
- Source :
- Applied Mathematics Letters. 52:58-63
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- The total least squares (TLS) is a method of fitting that is appropriate when there are errors in both the observation vector b = b m × 1 and the data matrix A = A m × n . In this paper, we study the quaternion total least squares (QTLS) problem by means of real representations of quaternion matrices, and derive an algebraic technique for finding solutions of the QTLS problem in quaternionic quantum theory.
- Subjects :
- Applied Mathematics
010103 numerical & computational mathematics
Generalized least squares
01 natural sciences
Least squares
Residual sum of squares
Non-linear least squares
Quantum mechanics
0103 physical sciences
0101 mathematics
Real representation
Total least squares
Algebraic number
010306 general physics
Quaternion
Mathematics
Subjects
Details
- ISSN :
- 08939659
- Volume :
- 52
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics Letters
- Accession number :
- edsair.doi...........2dafbaa14386daa8ea460b0b6af03a85