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A fast and nearly division-free algorithm for the characteristic polynomial

Fredrik Johansson 1
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We give a simple $O(n^{3.5})$ algorithm for computing the characteristic polynomial, determinant and adjugate of an $n \times n$ matrix, using only ring operations together with exact divisions by small integers. The method is a baby-step giant-step version of the Faddeev-Leverrier algorithm.
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https://hal.inria.fr/hal-03016034
Contributor : Fredrik Johansson <>
Submitted on : Friday, November 20, 2020 - 10:58:16 AM
Last modification on : Monday, November 23, 2020 - 3:24:15 AM

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  • HAL Id : hal-03016034, version 1

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Fredrik Johansson. A fast and nearly division-free algorithm for the characteristic polynomial. 2020. ⟨hal-03016034v1⟩

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