Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field
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Publication:1793702
DOI10.1155/2016/8673809zbMath1400.15009OpenAlexW2474407697WikidataQ59140966 ScholiaQ59140966MaRDI QIDQ1793702
Publication date: 12 October 2018
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/8673809
Related Items
Weighted MPCEP inverse of an operator between Hilbert spaces ⋮ Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation ⋮ Determinantal representations of solutions to systems of quaternion matrix equations ⋮ The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra ⋮ Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses ⋮ Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations ⋮ Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse ⋮ Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ Determinantal representations of the quaternion core inverse and its generalizations ⋮ Unnamed Item ⋮ The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule ⋮ Determinantal representations of the core inverse and its generalizations with applications ⋮ Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations ⋮ Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations ⋮ Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations
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