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A Jacobi-Type Eigensolver for Diagonally Dominant Symmetr...
[Submitted on 25 May 2026 (v1), last revised 25 Jun 2026 (this v · 2026-05-26 · via math updates on arXiv.org

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Abstract:This paper presents a Jacobi-type iteration for computing a given specified eigenpair of a symmetric matrix. For a certain class of diagonally dominant matrices, the procedure is shown to converge at a linear rate depending on how the matrix is significantly dominated. The cost per iteration is generally quadratic. Therefore, the proposed procedure can compute an approximation of the desired eigenpair in quadratic time.

Submission history

From: Luca Gemignani [view email]
[v1] Mon, 25 May 2026 09:11:34 UTC (7,180 KB)
[v2] Thu, 25 Jun 2026 12:45:07 UTC (7,175 KB)