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1

A New Algebraic Technique for Quaternion Constrained Least Squares Problems

Jiang, Tongsong, Zhang, Zhaozhong, Jiang, Ziwu

Journal:

Advances in Applied Clifford Algebras

Year:

2018

Language:

english

File:

PDF, 472 KB

english, 2018

2

On a Solution of the Quaternion Matrix Equation({A ilde{X} -X B = C})and Its Applications

Tongsong Jiang, Sitao Ling

Journal:

Advances in Applied Clifford Algebras

Year:

2013

Language:

english

File:

PDF, 292 KB

english, 2013

3

Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

Jiang, Tongsong, Zhang, Zhaozhong, Jiang, Ziwu

Journal:

Computer Physics Communications

Year:

2018

Language:

english

File:

PDF, 299 KB

english, 2018

4

Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory

Jiang, Tongsong

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 229 KB

english, 2005

5

Quaternion generalized singular value decomposition and its applications

Jiang Tongsong, Liu Yonghui, Wei Musheng

Journal:

Applied Mathematics-A Journal of Chinese Universities

Year:

2006

Language:

english

File:

PDF, 228 KB

english, 2006

6

Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory

Wang, Gang, Guo, Zhenwei, Zhang, Dong, Jiang, Tongsong

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

Language:

english

File:

PDF, 234 KB

english, 2019

7

Cramer rule for quaternionic linear equations in quaternionic quantum theory

Jiang, Tongsong

Journal:

Reports on Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 240 KB

english, 2006

8

A new technique of quaternion equality constrained least squares problem

Tongsong Jiang, Jianli Zhao, Musheng Wei

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 130 KB

english, 2008

9

An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion Matrices

Ling, Sitao, Cheng, Xuehan, Jiang, Tongsong

Journal:

Advances in Applied Clifford Algebras

Year:

2015

Language:

english

File:

PDF, 241 KB

english, 2015

10

Algebraic Method for Inequality Constrained Quaternion Least Squares Problem

Sitao Ling, Xiangjian Xu, Tongsong Jiang

Journal:

Advances in Applied Clifford Algebras

Year:

2013

Language:

english

File:

PDF, 270 KB

english, 2013

11

An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics

Jiang, Tongsong

Journal:

Journal of Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 280 KB

english, 2004

12

Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics

Jiang, Tongsong, Jiang, Ziwu, Zhang, Zhaozhong

Journal:

Advances in Applied Clifford Algebras

Year:

2016

Language:

english

File:

PDF, 547 KB

english, 2016

13

Generalized diagonalization of matrices over quaternion field

Jiang Tongsong, Chen Li

Journal:

Applied Mathematics and Mechanics

Year:

1999

Language:

english

File:

PDF, 298 KB

english, 1999

14

Algebraic Methods for Condiagonalization Under Consimilarity of Quaternion Matrices in Quaternionic Quantum Mechanics

Tongsong Jiang, Sitao Ling

Journal:

Advances in Applied Clifford Algebras

Year:

2013

Language:

english

File:

PDF, 266 KB

english, 2013

15

Equality constrained least squares problem over quaternion field

Tongsong Jiang, Musheng Wei

Journal:

Applied Mathematics Letters

Year:

2003

Language:

english

File:

PDF, 381 KB

english, 2003

16

Algebraic methods for least squares problem in split quaternionic mechanics

Zhang, Zhaozhong, Jiang, Ziwu, Jiang, Tongsong

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 272 KB

english, 2015

17

An algebraic method for Schrödinger equations in quaternionic quantum mechanics

Tongsong Jiang, Li Chen

Journal:

Computer Physics Communications

Year:

2008

Language:

english

File:

PDF, 137 KB

english, 2008

18

[IEEE 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD) - Chongqing, Sichuan, China (2012.05.29-2012.05.31)] 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery - Algebraic method for solving a class of quaternion algebraic Riccati equation

Ling, Sitao, Jiang, Tongsong, Cheng, Xuehan

Year:

2012

Language:

english

File:

PDF, 129 KB

english, 2012

19

Algebraic techniques for Schrödinger equations in split quaternionic mechanics

Jiang, Tongsong, Zhang, Zhaozhong, Jiang, Ziwu

Journal:

Computers & Mathematics with Applications

Year:

2018

Language:

english

File:

PDF, 259 KB

english, 2018

20

On solutions of the matrix equations X−AXB=C and X−AXB=C

Tongsong Jiang, Musheng Wei

Journal:

Linear Algebra and its Applications

Year:

2003

Language:

english

File:

PDF, 99 KB

english, 2003

21

An algebraic technique for total least squares problem in quaternionic quantum theory

Jiang, Tongsong, Cheng, Xuehan, Ling, Sitao

Journal:

Applied Mathematics Letters

Year:

2015

Language:

english

File:

PDF, 209 KB

english, 2015

22

A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem

Ming Li, Tongsong Jiang, Y.C. Hon

Journal:

Engineering Analysis with Boundary Elements

Year:

2010

Language:

english

File:

PDF, 1.25 MB

english, 2010

23

Algebraic techniques for least squares problem over generalized quaternion algebras: A unified approach in quaternionic and split quaternionic theory

Wang, Gang, Guo, Zhenwei, Zhang, Dong, Jiang, Tongsong

Journal:

Mathematical Methods in the Applied Sciences

Year:

2019

File:

PDF, 234 KB

2019

24

An algorithm for quaternionic linear equations in quaternionic quantum theory

Jiang, Tongsong

Journal:

Journal of Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 291 KB

english, 2004

25

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

Jiang, Tongsong, Cheng, Xuehan, Ling, Sitao

Journal:

Journal of Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 174 KB

english, 2014

26

A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems

Jiang, Ziwu, Su, Lingde, Jiang, Tongsong

Journal:

Abstract and Applied Analysis

Year:

2014

Language:

english

File:

PDF, 2.66 MB

english, 2014

27

Algebraic algorithms for least squares problem in quaternionic quantum theory

Tongsong Jiang, Li Chen

Journal:

Computer Physics Communications

Year:

2007

Language:

english

File:

PDF, 146 KB

english, 2007

28

A NUMERICAL METHOD FOR 1D TIME-DEPENDENT SCHRÖDINGER EQUATION USING RADIAL BASIS FUNCTIONS

JIANG, TONGSONG, JIANG, ZHAOLIN, KOLIBAL, JOSEPH

Journal:

International Journal of Computational Methods

Year:

2013

Language:

english

File:

PDF, 254 KB

english, 2013

29

New method for general Kennaugh’s pseudo-eigenvalue equation in radar polarimetry

Sitao Ling, Tongsong Jiang

Journal:

Frontiers of Mathematics in China

Year:

2012

Language:

english

File:

PDF, 142 KB

english, 2012

30

The Method of Particular Solutions for Solving Inverse Problems of a Nonhomogeneous Convection-Diffusion Equation with Variable Coefficients

Jiang, Tongsong, Li, Ming, Chen, C. S.

Journal:

Numerical Heat Transfer, Part A: Applications

Year:

2012

Language:

english

File:

PDF, 883 KB

english, 2012

31

An algebraic relation between consimilarity and similarity of complex matrices and its applications

Jiang, Tongsong, Cheng, Xuehan, Chen, Li

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 115 KB

english, 2006

32

An algebraic method for quaternion and complex Least Squares coneigen-problem in quantum mechanics

Jiang, Tongsong, Jiang, Ziwu, Ling, Sitao

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 305 KB

english, 2014

33

Cramer's rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics

Wang, Gang, Zhang, Dong, Guo, Zhenwei, Jiang, Tongsong

Journal:

Journal of Algebra and Its Applications

Year:

2020

Language:

english

File:

PDF, 489 KB

english, 2020

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