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Title of Journal: Adv Appl Clifford Algebras

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Abbravation: Advances in Applied Clifford Algebras

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Springer International Publishing

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DOI

10.1016/0960-0779(91)90021-z

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1661-4909

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Two Novel Algebraic Techniques for Quaternion Leas

Authors: Tongsong Jiang Ziwu Jiang Zhaozhong Zhang
Publish Date: 2015/07/31
Volume: 26, Issue: 1, Pages: 169-182
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Abstract

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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Other Papers In This Journal:
  1. Twistors in Geometric Algebra
  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  3. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  9. Operator Identities in q -Deformed Clifford Analysis
  10. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  11. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  12. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  13. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  14. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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