Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
Tóm tắt
Quaternion least squares (QLS) problem is one method of solving overdetermined sets of quaternion linear equations
$${AX \approx B}$$
and
$${AXC \approx B}$$
that are appropriate when there are errors in the matrix B. This paper, by means of complex representation and real representation of a quaternion matrix, studies the QLS problems, and derives two new algebraic techniques for finding solutions of the QLS problem in quaternionic quantum mechanics.
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