Solving a system of two-sided Sylvester-like quaternion tensor equations

DOI10.1007/s40314-023-02349-zzbMath1524.15035OpenAlexW4382058084MaRDI QIDQ6172873

No author found.

Publication date: 20 July 2023

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

Full work available at URL: https://doi.org/10.1007/s40314-023-02349-z

zbMATH Keywords

general solutionquaternionsSylvester-like tensor equation\(\eta\)-Hermitian tensor

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
• On the unitary diagonalisation of a special class of quaternion matrices
• A system of quaternary coupled Sylvester-type real quaternion matrix equations
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• A new real structure-preserving quaternion QR algorithm
• Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity
• Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
• On Fisher's information matrix of an ARMAX process and Sylvester's resultant matrices
• Cramer's rules for Sylvester quaternion matrix equation and its special cases
• A constraint system of coupled two-sided Sylvester-like quaternion tensor equations
• A constrained system of matrix equations
• On RGI algorithms for solving Sylvester tensor equations
• Extending BiCG and BiCR methods to solve the Stein tensor equation
• Numerical algorithms for solving discrete Lyapunov tensor equation
• Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm
• A projection method and Kronecker product preconditioner for solving Sylvester tensor equations
• Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations
• A system of coupled two-sided Sylvester-type tensor equations over the quaternion algebra
• A system of Sylvester-type quaternion matrix equations with ten variables
• Moore–Penrose inverse of tensors via Einstein product
• A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations
• Solving the Stein Equation in compound poisson approximation
• Output feedback eigenstructure assignment using two Sylvester equations
• Consistency of a pair of generalized Sylvester equations
• A Quaternion Widely Linear Adaptive Filter
• Application of ADI Iterative Methods to the Restoration of Noisy Images
• Least squares solution of the quaternion Sylvester tensor equation
• Gradient based iterative methods for solving symmetric tensor equations
• Gradient based iterative algorithms for solving a class of matrix equations
• Iterative algorithms for solving some tensor equations
• Quaternions and matrices of quaternions
• The consistency and the general common solution to some quaternion matrix equations
• The \(\eta\)-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation

This page was built for publication: Solving a system of two-sided Sylvester-like quaternion tensor equations