A block quaternion GMRES method and its convergence analysis

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)

Cites Work

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Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations
Algebraic properties of the block GMRES and block Arnoldi methods
The spectral theorem in quaternions
Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation $(AXB,DXE) = (C,F)$
Global FOM and GMRES algorithms for a class of complex matrix equations
Global FOM and GMRES algorithms for matrix equations
A quaternion QR-algorithm
A hybrid block GMRES method for nonsymmetric systems with multiple right-hand sides
Convergence properties of some block Krylov subspace methods for multiple linear systems
Convergence properties of block GMRES and matrix polynomials
Matrix Krylov subspace methods for linear systems with multiple right-hand sides
L-structured quaternion matrices and quaternion linear matrix equations
A Modified Block Flexible GMRES Method with Deflation at Each Iteration for the Solution of Non-Hermitian Linear Systems with Multiple Right-Hand Sides
An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
Structure Preserving Quaternion Generalized Minimal Residual Method
Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES
Functions of Matrices
Block Krylov subspace methods for solving large Sylvester equations
Least-squares solutions of generalized Sylvester-type quaternion matrix equations

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