An Efficient Iterative Approach to Large Sparse Nonlinear Systems with Non-Hermitian Jacobian Matrices

DOI10.4208/eajam.260420.171120zbMath1475.65017OpenAlexW3131801373MaRDI QIDQ5014266

Min-Hong Chen, Rongfei Lin, Qin Gao, Qing-Biao Wu

Publication date: 1 December 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.260420.171120

zbMATH Keywords

convergencelarge sparse nonlinear systemsplitting iterationpositive definite Jacobian matricesmodified Newton-DMGHSS method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10)

Related Items (3)

Modified Newton-PBS method for solving a class of complex symmetric nonlinear systems ⋮ A Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems ⋮ Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices

Cites Work

• Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
• Generalized Hermitian and skew-Hermitian splitting iterative method for image restoration
• On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
• Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• Two-parameter generalized Hermitian and skew-Hermitian splitting iteration method
• Unnamed Item

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