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

DOI10.1007/s12190-015-0970-yzbMath1360.65129OpenAlexW2310734675MaRDI QIDQ513504

Chang-Zhou Dong, Guang-Jing Song

Publication date: 7 March 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-015-0970-y

zbMATH Keywords

Cramer's ruleleast squares solutionquaternion matrix equationgeneralized inverse \(A^{2}_{T, S}\)least norm solutionPenrose's equations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items

Determinantal representations of solutions to systems of quaternion matrix equations ⋮ Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity ⋮ Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation ⋮ The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule ⋮ Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations ⋮ Some quaternion matrix equations involving Φ-Hermicity ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations

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