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 740 Downloads 1,809 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 5,569 Downloads 12,756 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 6,317 Downloads 9,527 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 870 Downloads 1,969 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 6,138 Downloads 9,105 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 3,841 Downloads 6,412 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 251 Downloads 1,127 Views Citations
Computing Octonions Roots by Newton’s Method (Articles)

W. Eltayeb Ahmed, Nahla Mohamed Ahmed

Journal of Applied Mathematics and Physics Vol.13 No.6, June 30, 2025

DOI: 10.4236/jamp.2025.136117 98 Downloads 444 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 8,197 Downloads 16,885 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 3,798 Downloads 7,567 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 6,541 Downloads 10,838 Views Citations
Branch Dynamics: A Theoretical Interpretation of Natural Phenomena (Articles)

Fred Y. Ye

International Journal of Modern Nonlinear Theory and Application Vol.2 No.1A, March 29, 2013

DOI: 10.4236/ijmnta.2013.21A009 4,072 Downloads 7,348 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 3,257 Downloads 4,641 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 1,233 Downloads 2,743 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 1,130 Downloads 2,401 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 915 Downloads 3,080 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 1,778 Downloads 9,427 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 352 Downloads 2,181 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 147 Downloads 649 Views Citations
Study on the Automorphism Group Structure of Several Typical Groups (Articles)

Renbing Xiao

Open Journal of Applied Sciences Vol.15 No.12, December 23, 2025

DOI: 10.4236/ojapps.2025.1512264 46 Downloads 295 Views Citations

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