A non-commutative algorithm for multiplying 5 × 5 matrices using 99 multiplications

Sedoglavic, Alexandre

Document type :

Pré-publication ou Document de travail

Title :

A non-commutative algorithm for multiplying 5 × 5 matrices using 99 multiplications

Author(s) :

Sedoglavic, Alexandre [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]

HAL domain(s) :

Informatique [cs]/Calcul formel [cs.SC]
Informatique [cs]/Complexité [cs.CC]

English abstract : [en]

We present a non-commutative algorithm for multiplying 5 × 5 matrices using 99 multiplications. This algorithm is a minor modification of Makarov’s algorithm which exhibit the previous best known bound with 100 multiplications.

Language :

Anglais

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

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http://arxiv.org/pdf/1707.06860
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https://hal.archives-ouvertes.fr/hal-01562131v5/document
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https://hal.archives-ouvertes.fr/hal-01562131v5/document
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RFC1707.pdf
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1707.06860
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