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Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations

Article ID Journal Published Year Pages File Type
6416684 Linear Algebra and its Applications 2013 17 Pages PDF
Abstract

Within the framework of the theory of the column and row determinants, we obtain explicit representation formulas (analogs of Cramer's rule) for the minimum norm least squares solutions of quaternion matrix equations AX=B,XA=B and AXB=D.

Keywords
15A15Moore–Penrose generalized inverse16W10Cramer ruleLeast squares solutionQuaternion matrixMatrix equation
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
Authors
Ivan Kyrchei,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A15
Moore–Penrose generalized inverse
16W10
Cramer rule
Least squares solution
Quaternion matrix
Matrix equation
Algebra and Number Theory
Analysis
Applied Mathematics
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Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
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Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
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