Add to ORKGWe extend Jordan\u27s notion of principal angles to work for two subspaces of quaternionic space, and so have a method to analyze two orthogonal projections in the matrices over the real, complex or quaternionic field (or skew field). From this we derive an algorithm to turn almost commuting projections into commuting projections that minimizes the sum of the displacements of the two projections. We quickly prove what we need using the universal real C*-algebra generated by two projections
Abstract—Dual quaternions give a neat and succinct way to encapsulate both translations and rotation...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
Abstract. This paper has studied some properties of circulant matrices, and makes use of the complex...
The Matlab files stored here were used to create the test data in "Principal angles and approxima...
This paper is dedicated to Professor Tsuyoshi Ando, in celebration of his expertise in matrix and op...
We first review the definition of the angle between subspaces and how it is computed using matrix al...
Quaternions are important for a wide variety of rotation-related problems in computer graphics, mach...
Many image and signal processing problems benefit from quaternion based models, due to their propert...
Dual quaternions give a neat and succinct way to encapsulate both translations and rotations into a ...
Assume that two subspaces F and G of a unitary space are defined.. as the ranges(or nullspacd of giv...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
Principal angles between subspaces (PABS) (also called canonical angles) serve as a classical tool i...
1. Introduction, In this note, some theorems which concern matrices of complex numbers are generaliz...
AbstractWe examine computational problems on quaternion matrix and rotation semigroups. It is shown ...
We examine computational problems on quaternion matrix and rotation semigroups. It is shown that in ...
Abstract—Dual quaternions give a neat and succinct way to encapsulate both translations and rotation...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
Abstract. This paper has studied some properties of circulant matrices, and makes use of the complex...
The Matlab files stored here were used to create the test data in "Principal angles and approxima...
This paper is dedicated to Professor Tsuyoshi Ando, in celebration of his expertise in matrix and op...
We first review the definition of the angle between subspaces and how it is computed using matrix al...
Quaternions are important for a wide variety of rotation-related problems in computer graphics, mach...
Many image and signal processing problems benefit from quaternion based models, due to their propert...
Dual quaternions give a neat and succinct way to encapsulate both translations and rotations into a ...
Assume that two subspaces F and G of a unitary space are defined.. as the ranges(or nullspacd of giv...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
Principal angles between subspaces (PABS) (also called canonical angles) serve as a classical tool i...
1. Introduction, In this note, some theorems which concern matrices of complex numbers are generaliz...
AbstractWe examine computational problems on quaternion matrix and rotation semigroups. It is shown ...
We examine computational problems on quaternion matrix and rotation semigroups. It is shown that in ...
Abstract—Dual quaternions give a neat and succinct way to encapsulate both translations and rotation...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
Abstract. This paper has studied some properties of circulant matrices, and makes use of the complex...
