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ALGEBRAS WITH POLYNOMIAL IDENTITIES AND COMPUTING THE DETERMINANT

Author
CHIEN, Steve1 ; SINCLAIR, Alistair2
[1] Microsoft Research, 1065 La Avenida, Mountain View, CA 94043, United States
[2] Computer Science Division, University of California at Berkeley, Berkeley, CA 94720-1776, United States
Source

SIAM journal on computing (Print). 2008, Vol 37, Num 1, pp 252-266, 15 p ; ref : 24 ref

ISSN
0097-5397
Scientific domain
Computer science; Mathematics
Publisher
Society for Industrial and Applied Mathematics, Philadelphia, PA
Publication country
United States
Document type
Article
Language
English
Author keyword
16R10 65F40 68Q17; Secondary 68Q25 Primary algebraic branching programs algebraic computation complexity lower bounds determinants permanents polynomial identities
Keyword (fr)
Algèbre matricielle Borne inférieure Calcul automatique Caractérisation Caractéristique Commutativité Complexité Déterminant Groupe fini Matrice Polynôme Ramification Rang 15A66 17A50 20B05 Algèbre libre Groupe non abélien Programme branchement
Keyword (en)
Matrix algebra Lower bound Computing Characterization Characteristic Commutativity Complexity Determinant Finite group Matrices Polynomial Branching Rank Free algebra Nonabelian group
Keyword (es)
Cota inferior Cálculo automático Caracterización Característica Conmutatividad Complejidad Determinante Grupo finito Polinomio Ramificación Rango
Classification
Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02C Algebra / 001A02C06 Linear and multilinear algebra, matrix theory

Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02C Algebra / 001A02C08 Nonassociative rings and algebras

Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02D Group theory / 001A02D01 Group theory and generalizations

Pascal
001 Exact sciences and technology / 001D Applied sciences / 001D02 Computer science; control theory; systems / 001D02A Theoretical computing / 001D02A08 Miscellaneous

Discipline
Computer science : theoretical automation and systems Mathematics
Origin
Inist-CNRS
Database
PASCAL
INIST identifier
20136359

Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS

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