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A COMINRES‐QLP method for solving complex symmetric linear systems
Author(s) -
Liu Lijun,
Sekiya Kazuaki,
Ogino Masao,
Masui Koki
Publication year - 2021
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.23325
Subject(s) - discretization , linear system , hermitian matrix , mathematics , finite element method , coefficient matrix , electromagnetics , symmetric matrix , field (mathematics) , computation , computer science , mathematical optimization , mathematical analysis , algorithm , physics , pure mathematics , engineering , eigenvalues and eigenvectors , electronic engineering , quantum mechanics , thermodynamics
Solving complex symmetric systems efficiently is a significantly important issue in the applications of electromagnetics since the discretization of the numerical model using the finite element method results in complex symmetric systems when computing the electromagnetic field. However, such complex symmetric systems are usually much more difficult to be solved because of the property of non‐Hermitian. Therefore, efficient numerical methods for the solution of complex symmetric systems are demanded. In this study, we proposed an iterative method called COMINRES‐QLP which is specially designed for complex symmetric linear systems. Moreover, we proposed a new stopping criterion which could be very useful in practical computations when the condition number of the coefficient matrix is unknown.