New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations

被引：13

作者：

Song, Guang-Jing ^{[1
]}

Dong, Chang-Zhou ^{[2
]}

机构：

[1] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China

[2] Shijiazhuang Univ Econ, Sch Math & Sci, Shijiazhuang 050031, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 53卷 / 1-2期

关键词：

Quaternion matrix; Cramer's rule; Generalized inverse A(T; S)((2)); Determinant; LEAST-SQUARES SOLUTIONS; NORM; REPRESENTATION;

D O I：

10.1007/s12190-015-0970-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive some condensed Cramer's rules for the general solution, the least squares solution and the least norm solution to some restricted quaternion matrix equations, respectively. The findings of this paper extend some known results in the literature.

引用

页码：321 / 341

页数：21

共 40 条

[1] Adler S., 1994, Quaternionic Quantum Mechanics and Quantum Fields
[2] Quaternionic determinants
Aslaksen, H
[J]. MATHEMATICAL INTELLIGENCER, 1996, 18 (03) : 57 - 65
[3] A CRAMER RULE FOR LEAST-NORM SOLUTIONS OF CONSISTENT LINEAR-EQUATIONS
BENISRAEL, A
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1982, 43 (MAR) : 223 - 226
[4] On determinantal representation for the generalized inverse A(2)T,S and its applications
Cai, Jing
Chen, Guoliang
[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 14 (03) : 169 - 182
[5] Chen L., 1991, Acta Math. Sin. (N.S., V7, P171, DOI [10.1007/BF02633946, DOI 10.1007/BF02633946]
[6] CHEN LX, 1991, SCI CHINA SER A, V34, P528
[7] Chen Y.L., 1995, LINEAR MULTILINEAR A, V40, P61
[8] Cohen N., 2000, Electron. J. Linear Algebra, V7, P100, DOI [10.13001/1081-3810.1050, DOI 10.13001/1081-3810.1050]
[9] OBSERVABILITY OF QUATERNIONIC QUANTUM-MECHANICS
DAVIES, AJ
MCKELLAR, BHJ
[J]. PHYSICAL REVIEW A, 1992, 46 (07): : 3671 - 3675
[10] DYSON FJ, 1972, HELV PHYS ACTA, V45, P289

← 1 2 3 4 →