Characterization of the W-weighted Drazin inverse over the quaternion skew field with applications

DOI10.13001/1081-3810.1635zbMath1283.15019OpenAlexW308537585MaRDI QIDQ5746783

Guang-Jing Song

Publication date: 10 February 2014

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol26_pp1-14.pdf

zbMATH Keywords

Cramer's rulequaternion matrixquaternion matrix equationdeterminantal representations\(W\)-weighted Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (14)

A note on the perturbation bounds of W-weighted Drazin inverse ⋮ Determinantal representations of solutions to systems of quaternion matrix equations ⋮ Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field ⋮ Recurrent neural network for computing the \(W\)-weighted Drazin inverse ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ Cramer's rule for the general solution to a restricted system of quaternion matrix equations ⋮ Determinantal representations of the quaternion core inverse and its generalizations ⋮ Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation ⋮ Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field ⋮ Unnamed Item ⋮ The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule ⋮ Cramer's rule for a system of quaternion matrix equations with applications ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations

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