Quaternion - Articles - Scientific Research Publishing

A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics (Articles)

Zhenwei Guo, Gang Wang, Dong Zhang, Tongsong Jiang

Journal of Applied Mathematics and Physics Vol.7 No.9，August 29, 2019

DOI: 10.4236/jamp.2019.79133 649 Downloads 1,396 Views Citations
On Bicomplex Representation Methods and Applications of Matrices over Quaternionic Division Algebra (Articles)

Junliang Wu, Pingping Zhang

Advances in Pure Mathematics Vol.1 No.2，March 30, 2011

DOI: 10.4236/apm.2011.12004 5,358 Downloads 12,167 Views Citations
Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems (Articles)

Hector Torres-Silva

Journal of Electromagnetic Analysis and Applications Vol.5 No.3，March 28, 2013

DOI: 10.4236/jemaa.2013.53017 6,116 Downloads 8,930 Views Citations
Algebraic Techniques for Linear Equations over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics (Articles)

Gang Wang, Zhenwei Guo, Dong Zhang, Tongsong Jiang

Journal of Applied Mathematics and Physics Vol.7 No.8，August 16, 2019

DOI: 10.4236/jamp.2019.78118 762 Downloads 1,546 Views Citations
Spectrum of Signals on the Quaternion Fourier Transform Domain (Articles)

Guicheng Yang, Yingxiong Fu

Journal of Applied Mathematics and Physics Vol.1 No.4，November 6, 2013

DOI: 10.4236/jamp.2013.14007 5,897 Downloads 8,601 Views Citations
A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data (Articles)

Tohru Nitta

Applied Mathematics Vol.4 No.12，November 20, 2013

DOI: 10.4236/am.2013.412219 3,700 Downloads 5,987 Views Citations
Elements of Electromagnetic Matter (Articles)

Viktor Ariel

Journal of Modern Physics Vol.15 No.3，February 29, 2024

DOI: 10.4236/jmp.2024.153013 168 Downloads 684 Views Citations
A New Wave Equation of the Electron (Articles)

Arbab I. Arbab

Journal of Modern Physics Vol.2 No.9，September 19, 2011

DOI: 10.4236/jmp.2011.29121 7,960 Downloads 16,187 Views Citations
Relativistic Warning to Space Missions Aimed to Reach Phobos (Articles)

Alexander P. Yefremov

International Journal of Astronomy and Astrophysics Vol.1 No.4，December 19, 2011

DOI: 10.4236/ijaa.2011.14025 3,638 Downloads 7,122 Views Citations
The Quaternion Structure of Space-Time and Arrow of Time (Articles)

Ying-Qiu Gu

Journal of Modern Physics Vol.3 No.7，July 17, 2012

DOI: 10.4236/jmp.2012.37078 6,344 Downloads 10,217 Views Citations
Branch Dynamics: A Theoretical Interpretation of Natural Phenomena (Articles)

Fred Y. Ye

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.1A，March 29, 2013

DOI: 10.4236/ijmnta.2013.21A009 3,947 Downloads 6,925 Views Citations
This article belongs to the Special Issue on Chaos
A Quaternion Solution of the Motion in a Central Force Field Relative to a Rotating Reference Frame (Articles)

Ioan-Adrian Ciureanu, Daniel Condurache

World Journal of Mechanics Vol.5 No.5，May 13, 2015

DOI: 10.4236/wjm.2015.55008 3,129 Downloads 4,215 Views Citations
6R Robot Inverse Solution Algorithm Based on Quaternion Matrix and Groebner Base (Articles)

Zhensong Ni, Ruikun Wu

Advances in Linear Algebra & Matrix Theory Vol.8 No.1，March 7, 2018

DOI: 10.4236/alamt.2018.81004 1,111 Downloads 2,315 Views Citations
The Properties and Fast Algorithm of Quaternion Linear Canonical Transform (Articles)

Ye Zhang, Guanlei Xu

Journal of Signal and Information Processing Vol.9 No.3，August 21, 2018

DOI: 10.4236/jsip.2018.93012 1,006 Downloads 1,910 Views Citations
The Lie Group SU(2) Hopf Fibration and the Fourier Equation (Articles)

Adelin Mulenda Mbuto, Lucien Zihindula Biguru, Jean Masudi Kalongama, Joseph Cimbela Kabongo, Albert Kabasele Yenga-Yenga

Journal of Applied Mathematics and Physics Vol.8 No.7，July 25, 2020

DOI: 10.4236/jamp.2020.87105 771 Downloads 2,551 Views Citations
Deductions from the Quaternion Form of Maxwell’s Electromagnetic Equations (Articles)

Jeremy Dunning-Davies, Richard Lawrence Norman

Journal of Modern Physics Vol.11 No.9，September 22, 2020

DOI: 10.4236/jmp.2020.119085 1,571 Downloads 7,790 Views Citations
Complex Maxwell’s Equations (Articles)

Mahgoub A. Salih

Journal of Modern Physics Vol.14 No.12，November 29, 2023

DOI: 10.4236/jmp.2023.1412097 230 Downloads 1,292 Views Citations
Split-Tetraquaternion Algebra and Applications (Articles)

Grégoire Lutanda Panga

Journal of Applied Mathematics and Physics Vol.12 No.7，July 31, 2024

DOI: 10.4236/jamp.2024.127159 93 Downloads 338 Views Citations
On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices (Articles)

Huasheng Zhang

Advances in Linear Algebra & Matrix Theory Vol.1 No.1，December 30, 2011

DOI: 10.4236/alamt.2011.11001 4,305 Downloads 13,840 Views Citations
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE (Articles)

Sergey Victor Ludkovsky

Advances in Pure Mathematics Vol.2 No.2，March 22, 2012

DOI: 10.4236/apm.2012.22013 8,314 Downloads 15,026 Views Citations

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