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Research Paper on In quantum chemistry, a PARALLEL ALGORITHM OF ICSYM FOR COMPLEXSYMMETRIC LINEAR SYSTEMS

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Research Paper on In quantum chemistry, a PARALLEL ALGORITHM OF ICSYM FOR COMPLEXSYMMETRIC LINEAR SYSTEMS

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Title: In quantum chemistry, a PARALLEL ALGORITHM OF ICSYM FOR COMPLEXSYMMETRIC LINEAR SYSTEMS

Abstract: Large-scale complex symmetric linear systems are frequently difficult to solve computationally, especially in quantum chemistry applications. We suggest a parallel algorithm of improved conjugate gradient-type iterative regression to address this issue (ICSYM). By replacing the tridiagonalization step in the traditional CSYM with a three-term recurrence relation and the orthogonal properties of residual vectors, it is possible to reduce the number of vector updates and vector multiplications while also lowering the degree of the reduce-operator from two to one communication at each iteration. Numerous numerical examples are used to demonstrate how the proposed improved version achieves high performance in both parallel efficiency and convergent rate.

Keywords: complex symmetric linear systems, parallel computing, improved conjugate gradient-type iterative algorithm (ICSYM)

Paper Quality: SCOPUS / Web of Science Level Research Paper

Paper type: Analysis Based Research Paper

Subject: Computer Science

Writer Experience: 20+ Years

Plagiarism Report: Turnitin Plagiarism Report will be less than 10%

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