-SKEW-HERMITIAN SOLUTION TO A SYSTEM OF TENSOR EQUATIONS OVER THE QUATERNION ALGEBRA

DOI10.17654/NT046020181zbMath1480.11148OpenAlexW3036337061MaRDI QIDQ5036081

Hao Ye, Simo Kang, Tian-Li Xu

Publication date: 23 February 2022

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/nt046020181

zbMATH Keywords

Moore-Penrose inversequaterniontensor equation\(\phi\)-skew-Hermitian

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Editorial: Matrix equations with application to control theory
• On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation
• Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity
• Tensor eigenvalues and their applications
• Extending BiCG and BiCR methods to solve the Stein tensor equation
• The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity
• Solution to sylvester equation associated to linear descriptor systems
• Iterative least-squares solutions of coupled sylvester matrix equations
• Moore–Penrose inverse of tensors via Einstein product
• Solving Multilinear Systems via Tensor Inversion
• SVD-Based Algorithms for the Best Rank-1 Approximation of a Symmetric Tensor
• A Quaternion Widely Linear Adaptive Filter
• The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
• Least squares solution of the quaternion Sylvester tensor equation
• Numerical Computation for Orthogonal Low-Rank Approximation of Tensors
• Coupled Sylvester-type Matrix Equations and Block Diagonalization
• Gradient based iterative algorithms for solving a class of matrix equations
• Tensor Analysis

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