GENERAL Φ-HERMITIAN SOLUTION TO A SYSTEM OF QUATERNION MATRIX EQUATIONS

DOI10.17654/NT041010035zbMath1426.15023OpenAlexW2910800406MaRDI QIDQ5204715

Pingping Song, Zhiqing Zhang, Mengyan Xie

Publication date: 5 December 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt041010035

zbMATH Keywords

Moore-Penrose inverseinvolutionmatrix equationquaternion

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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• Roth's solvability criteria for the matrix equations \(AX-\hat{X}B=C\) and \(X-A\hat{X}B=C\) over the skew field of quaternions with an involutive automorphism \(q \mapsto \hat{q}\)
• Augmented second-order statistics of quaternion random signals
• On the unitary diagonalisation of a special class of quaternion matrices
• Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• A system of real quaternion matrix equations with applications
• Theη-bihermitian solution to a system of real quaternion matrix equations
• A generalization of the complex Autonne–Takagi factorization to quaternion matrices
• Right eigenvalue equation in quaternionic quantum mechanics
• Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering
• The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
• The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
• Coupled Sylvester-type Matrix Equations and Block Diagonalization
• Stability of Quaternionic Linear Systems
• A real quaternion matrix equation with applications

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