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An even faster solver for general systems of equations

Identifieur interne : 001421 ( PascalFrancis/Corpus ); précédent : 001420; suivant : 001422

An even faster solver for general systems of equations

Auteurs : C. Fecht ; H. Seidl

Source :

RBID : Pascal:97-0022184

Descripteurs français

English descriptors

Abstract

We present a new algorithm which computes a partial approximate solution for a system of equations. It is local in that it considers as few variables as necessary in order to compute the values of those variables we are interested in, it is generic in that it makes no assumptions on the application domain, and it is general in that the algorithm does not depend on any specific properties of right-hand sides of equations. For instance, monotonicity is not required. However, in case the right-hand sides satisfy some weak monotonicity property, our algorithm returns the (uniquely defined) least solution. The algorithm meets the best known theoretical worstcase complexity of similar algorithms. For the application of analyzing logic languages, it also gives the best practical results on most of our real world benchmark programs.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 1145
A08 01  1  ENG  @1 An even faster solver for general systems of equations
A09 01  1  ENG  @1 Static analysis : Aachen, September 24-26, 1996
A11 01  1    @1 FECHT (C.)
A11 02  1    @1 SEIDL (H.)
A12 01  1    @1 COUSOT (Radhia) @9 ed.
A12 02  1    @1 SCHMIDT (David A.) @9 ed.
A14 01      @1 Universität des Saarlandes, Postfach 151150 @2 66041 Saarbrücken @3 DEU @Z 1 aut.
A14 02      @1 Fachbereich IV - Informatik, Universität Trier @2 54286 Trier @3 FRA @Z 2 aut.
A20       @1 189-204
A21       @1 1996
A23 01      @0 ENG
A43 01      @1 INIST @2 16343 @5 354000063990760140
A44       @0 0000 @1 © 1997 INIST-CNRS. All rights reserved.
A45       @0 18 ref.
A47 01  1    @0 97-0022184
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Lecture notes in computer science
A66 01      @0 DEU
A66 02      @0 USA
C01 01    ENG  @0 We present a new algorithm which computes a partial approximate solution for a system of equations. It is local in that it considers as few variables as necessary in order to compute the values of those variables we are interested in, it is generic in that it makes no assumptions on the application domain, and it is general in that the algorithm does not depend on any specific properties of right-hand sides of equations. For instance, monotonicity is not required. However, in case the right-hand sides satisfy some weak monotonicity property, our algorithm returns the (uniquely defined) least solution. The algorithm meets the best known theoretical worstcase complexity of similar algorithms. For the application of analyzing logic languages, it also gives the best practical results on most of our real world benchmark programs.
C02 01  X    @0 001D02A05
C03 01  X  FRE  @0 Algorithme rapide @5 01
C03 01  X  ENG  @0 Fast algorithm @5 01
C03 01  X  SPA  @0 Algoritmo rápido @5 01
C03 02  X  FRE  @0 Résolution système équation @5 02
C03 02  X  ENG  @0 Equation system solving @5 02
C03 02  X  SPA  @0 Resolución sistema ecuación @5 02
C03 03  X  FRE  @0 Complexité algorithme @5 03
C03 03  X  ENG  @0 Algorithm complexity @5 03
C03 03  X  SPA  @0 Complejidad algoritmo @5 03
N21       @1 006
pR  
A30 01  1  ENG  @1 SAS '96 : international symposium on statis analysis @2 3 @3 Aachen DEU @4 1996-09-24

Format Inist (serveur)

NO : PASCAL 97-0022184 INIST
ET : An even faster solver for general systems of equations
AU : FECHT (C.); SEIDL (H.); COUSOT (Radhia); SCHMIDT (David A.)
AF : Universität des Saarlandes, Postfach 151150/66041 Saarbrücken/Allemagne (1 aut.); Fachbereich IV - Informatik, Universität Trier/54286 Trier/France (2 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 1996; Vol. 1145; Pp. 189-204; Bibl. 18 ref.
LA : Anglais
EA : We present a new algorithm which computes a partial approximate solution for a system of equations. It is local in that it considers as few variables as necessary in order to compute the values of those variables we are interested in, it is generic in that it makes no assumptions on the application domain, and it is general in that the algorithm does not depend on any specific properties of right-hand sides of equations. For instance, monotonicity is not required. However, in case the right-hand sides satisfy some weak monotonicity property, our algorithm returns the (uniquely defined) least solution. The algorithm meets the best known theoretical worstcase complexity of similar algorithms. For the application of analyzing logic languages, it also gives the best practical results on most of our real world benchmark programs.
CC : 001D02A05
FD : Algorithme rapide; Résolution système équation; Complexité algorithme
ED : Fast algorithm; Equation system solving; Algorithm complexity
SD : Algoritmo rápido; Resolución sistema ecuación; Complejidad algoritmo
LO : INIST-16343.354000063990760140
ID : 97-0022184

Links to Exploration step

Pascal:97-0022184

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