Block Variants of the COCG and COCR Methods for Solving Complex Symmetric Linear Systems with Multiple Right-Hand Sides

DOI10.1007/978-3-319-39929-4_30zbMath1352.65106arXiv1601.05362OpenAlexW2340044314MaRDI QIDQ3179674

Jing Meng, Xian-Ming Gu, Bruno Carpentieri, Ting-Zhu Huang

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05362

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (1)

A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form

Cites Work

• The CBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems
• A block IDR\((s)\) method for nonsymmetric linear systems with multiple right-hand sides
• A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
• A COCR method for solving complex symmetric linear systems
• The block conjugate gradient algorithm and related methods
• A block version of BiCGSTAB for linear systems with multiple right-hand sides
• A flexible and adaptive simpler block GMRES with deflated restarting for linear systems with multiple right-hand sides
• A novel class of block methods based on the blockAA^T-Lanczos bi-orthogonalization process for matrix equations
• Sparse symmetric preconditioners for dense linear systems in electromagnetism
• Combining Fast Multipole Techniques and an Approximate Inverse Preconditioner for Large Electromagnetism Calculations
• Using spectral low rank preconditioners for large electromagnetic calculations
• Retooling the method of block conjugate gradients

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