Schur Decomposition Fast Direct Solver for Volume Surface Integral Equation

Negi, YK and Balakrishnan, N and Rao, SM (2024) Schur Decomposition Fast Direct Solver for Volume Surface Integral Equation. In: IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting, AP-S/INC-USNC-URSI 2024, 14 July 2024through 19 July 2024, Florence, pp. 973-974.

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Abstract

In this paper, we propose a new fast direct solver based on the Schur Decomposition method. The single-level compressed H-Matrix is factorized into LDU format, where L is a lower triangle, and U is the upper triangle compressed block matrix. D is the diagonal block matrix. The solution process includes matrix-vector multiplication with L and U, along with a diagonal block solution of D. The high cost of factorization is overcome by using low-rank block matrix operations. © 2024 IEEE.

Item Type:	Conference Paper
Publication:	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to publishers.
Keywords:	Choquet integral; Digital arithmetic; Lower-upper decomposition; Matrix factorization, Block matrix; Decomposition methods; Direct solvers; H matrix; High costs; Matrix vector multiplication; Schur decomposition; Single level; Solution process; Volume surface integral equations, Integral equations
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre
Date Deposited:	18 Nov 2024 16:46
Last Modified:	18 Nov 2024 16:46
URI:	http://eprints.iisc.ac.in/id/eprint/86769

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