Quaternion Matrices - Articles - Scientific Research Publishing

Numerical Solution of the Quaternion Quadratic Matrix Equation $X^{2} + B X + C = 0$ (Articles)

Baiquan Hu

Journal of Applied Mathematics and Physics Vol.13 No.11, November 13, 2025

DOI: 10.4236/jamp.2025.1311215 59 Downloads 336 Views Citations
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 765 Downloads 1,871 Views Citations
Innovative Structured Matrices (Articles)

Rahul Gupta, Garimella Rama Murthy

Advances in Linear Algebra & Matrix Theory Vol.3 No.3, September 17, 2013

DOI: 10.4236/alamt.2013.33004 5,232 Downloads 11,222 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 5,630 Downloads 12,849 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 6,366 Downloads 9,621 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 895 Downloads 2,025 Views Citations
On the Infinite Products of Matrices (Articles)

Yousry S. Hanna, Samya F. Ragheb

Advances in Pure Mathematics Vol.2 No.5, September 26, 2012

DOI: 10.4236/apm.2012.25050 4,201 Downloads 8,218 Views Citations
Eigenvectors of Permutation Matrices (Articles)

M. Isabel Garca-Planas, M. Dolors Magret

Advances in Pure Mathematics Vol.5 No.7, May 29, 2015

DOI: 10.4236/apm.2015.57038 11,142 Downloads 13,576 Views Citations
This article belongs to the Special Issue on Eigenvalues and Eigenvectors
A New Algorithm for the Determinant and the Inverse of Banded Matrices (Articles)

Mohamed Elouafi, Driss Aiat Hadj Ahmed

Open Access Library Journal Vol.1 No.3, June 20, 2014

DOI: 10.4236/oalib.1100543 1,685 Downloads 3,278 Views Citations
RETRACTED: Generation of Pascal Triangle Using Matrices (Review)

Prema R. Balasubramani

Advances in Linear Algebra & Matrix Theory Vol.7 No.4, November 6, 2017

DOI: 10.4236/alamt.2017.74008 1,467 Downloads 3,091 Views Citations
On Unitary N-Dilations for Tuples of Circulant Contractions and von Neumann’s Inequality (Articles)

Joachim Moussounda Mouanda, Edwige Josette Maleka Koubemba, Djagwa Dehainsala

American Journal of Computational Mathematics Vol.13 No.4, December 13, 2023

DOI: 10.4236/ajcm.2023.134032 224 Downloads 738 Views Citations
On Matrix Solutions of the Diophantine Equation $X^{4 n} + Y^{4 n} = Z^{4 n}$ , $X, Y, Z \in M_{4 n} (ℕ)$ , and Interconnections between Universes of Matrix Triples (Articles)

Roce A. Mahi, Eric D. Akéké, Joachim M. Mouanda, François E. Tanoé

Advances in Pure Mathematics Vol.16 No.4, April 30, 2026

DOI: 10.4236/apm.2026.164015 43 Downloads 162 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 6,168 Downloads 9,181 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 3,866 Downloads 6,475 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 311 Downloads 1,229 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 119 Downloads 496 Views Citations
Schur Complement of con-s-k-EP Matrices (Articles)

B. K. N. Muthugobal

Advances in Linear Algebra & Matrix Theory Vol.2 No.1, March 31, 2012

DOI: 10.4236/alamt.2012.21001 6,490 Downloads 17,837 Views Citations
A Note on the Proof of the Perron-Frobenius Theorem (Articles)

Yun Cheng, Timothy Carson, Mohamed B. M. Elgindi

Applied Mathematics Vol.3 No.11, November 20, 2012

DOI: 10.4236/am.2012.311235 6,643 Downloads 10,061 Views Citations
New Algorithms for Solving Bordered k-Tridiagonal Linear Systems (Articles)

Moawwad El-Mikkawy, Faiz Atlan

Journal of Applied Mathematics and Physics Vol.3 No.7, July 15, 2015

DOI: 10.4236/jamp.2015.37107 3,621 Downloads 4,983 Views Citations
Generalized Irreducible α-Matrices and Its Applications (Articles)

Yi Sun, Haibin Zhang, Chaoqian Li

Advances in Linear Algebra & Matrix Theory Vol.8 No.3, August 9, 2018

DOI: 10.4236/alamt.2018.83010 1,181 Downloads 2,677 Views Citations

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