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A variant of the block preconditioner for indefinite complex symmetric linear systems — arXiv:2608.29985

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29985
License (as archived): CC0-1.0
Archived: 2026-10-17T09:28:31.028Z
SHA-256 of the archived text: e1f643dac3d60abc5fc12055dad7ab7ab7c1706c0542c9ebb543f3f83019955a
Stable URL of this page: https://metraipolis.com/documento/dc_b708c8a0aaa0

How to cite

A variant of the block preconditioner for indefinite complex symmetric linear systems — arXiv:2608.29985 — arXiv (en), https://arxiv.org/abs/2608.29985 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_b708c8a0aaa0 (Metraipolis archive dc_b708c8a0aaa0, sha256 e1f643dac3d60abc5fc12055dad7ab7ab7c1706c0542c9ebb543f3f83019955a)

BibTeX

@misc{dcb708c8a0aaa0,
  title = {A variant of the block preconditioner for indefinite complex symmetric linear systems — arXiv:2608.29985},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29985},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_b708c8a0aaa0; sha256 e1f643dac3d60abc5fc12055dad7ab7ab7c1706c0542c9ebb543f3f83019955a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29985. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In this paper, we propose an efficient preconditioner for solving indefinite complex symmetric linear systems within a block preconditioning framework. We analyze the convergence of the corresponding iterative method and investigate several spectral properties of the preconditioned matrix, including eigenvalue distributions and eigenvector structures. The new preconditioner is used to accelerate the convergence of the flexible version of GMRES. Numerical experiments are presented to illustrate the effectiveness of the proposed preconditioner, and comparisons with existing block preconditioners demonstrate its superior performance.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-01 in math.NA).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2608.29985 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T08:59:54.362Z dalla pagina https://arxiv.org/catchup/math.NA/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).