On the NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-periodic fractional diffusion equations

DOI10.3906/mat-1510-93zbMath1424.65056OpenAlexW2557537090MaRDI QIDQ4633690

Min-Li Zeng, Guo-Feng Zhang

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1510-93

zbMATH Keywords

Sylvester equationlow-rankKrylov-plus-inverted-Krylov subspace methodNPHSS methodtime-periodic fractional diffusion equation

Mathematics Subject Classification ID

Uses Software

• ma2dfc
• Algorithm 432

Cites Work

• Unnamed Item
• Incomplete circulant and skew-circulant splitting iteration method for time-dependent space fractional diffusion equations
• On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation \(AX+XB=C\)
• On normal and skew-Hermitian splitting iteration methods for large sparse continuous Sylvester equations
• A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part
• Modified HSS iteration methods for a class of complex symmetric linear systems
• A shift-splitting hierarchical identification method for solving Lyapunov matrix equations
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• Iterative solution of the Lyapunov matrix equation
• SOR for \(AX-XB=C\)
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Waiting-times and returns in high-frequency financial data: An empirical study
• A single-step HSS method for non-Hermitian positive definite linear systems
• Low rank approximate solutions to large Sylvester matrix equations
• Finite difference approximations for two-sided space-fractional partial differential equations
• On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
• A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Hessenberg-Schur method for the problem AX + XB= C
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Matrix Equation $XA + BX = C$

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