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. SeidlSource :
-
Lecture notes in computer science [ 0302-9743 ] ; 1996.
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
Le document en format XML
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