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MATHEMATICAL SOFTWARE
Proceedings of the First International Congress of Mathematical Software

Beijing, China, 17 - 19 August 2002


CONTENTS

FRONT MATTER
i
THE EXPERIMENTAL MATHEMATICIAN: A COMPUTATIONAL GUIDE TO THE MATHEMATICAL UNKNOWN
JONATHAN MICHAEL BORWEIN
1
COMPUTER ALGEBRA AND FINITE GROUPS
GERT-MARTIN GREUEL and GERHARD PFISTER
4
SOFTWARE INTEGRATION AND COMPUTER PROOFS
MICHAEL JOSWIG
15
SOFTWARE CARRY-SAVE FOR FAST MULTIPLE-PRECISION ALGORITHMS
DAVID DEFOUR and FLORENT DE DINECHIN
29
LINBOX: A GENERIC LIBRARY FOR EXACT LINEAR ALGEBRA
J.-G. DUMAS, T. GAUTIER, M. GIESBRECHT, P. GIORGI, B. HOVINEN, E. KALTOFEN, B. D. SAUNDERS, W. J. TURNER and G. VILLARD
40
BLOCK-ITERATIVE ALGORITHMS FOR IMAGE RECONSTRUCTION
MING JIANG and GE WANG
51
THE SNAP PACKAGE FOR ARITHMETIC WITH NUMERIC POLYNOMIALS
C.-P. JEANNEROD and G. LABAHN
61
ALGORITHMS OF COMPOSITE RATIONAL INTERPOLATION BASED ON CONTINUED FRACTIONS
JIEQING TAN and SHUO TANG
72
FAST AND SPACE-EFFICIENT ALGORITHMS FOR DECIDING SHELLABILITY OF SIMPLICIAL COMPLEXES OF LARGE SIZE USING h-ASSIGNMENTS
SONOKO MORIYAMA, AYUMU NAGAI and HIROSHI IMAI
82
COMPUTING GCLF USING SYZYGY ALGORITHM
MINGSHENG WANG and C. P. KWONG
93
EFFICIENT COOPERATIVE SOLVERS FOR NONLINEAR CONTINUOUS CONSTRAINT PROBLEMS
YI SHANG, MARKUS P. J. FROMHERZ and LARA S. CRAWFORD
104
PSEUDO-DIVISION MACHINE (I): A MODEL OF SYMBOLIC COMPUTATION
ZHIKUN SHE, BICAN XIA and ZHIMING ZHENG
115
XSSR: AN EXPERIMENTAL SYSTEM FOR STRING REWRITING – DECISION PROBLEMS, ALGORITHMS, AND IMPLEMENTATION
DIETER HOFBAUER, FRIEDRICH OTTO, CHRISTOPH KÖGL and KLAUS E. MADLENER
126
THE DIFFERENTIAL STRUCTURE OF THE BRIESKORN LATTICE
MATHIAS SCHULZE
136
AN EFFICIENT MODULAR ALGORITHM FOR COMPUTING THE GLOBAL B-FUNCTION
MASAYUKI NORO
147
A METHOD FOR CONSTRUCTING HOLONOMIC SYSTEMS FOR ALGEBRAIC LOCAL COHOMOLOGY CLASSES WITH SUPPORT ON A ZERO DIMENSIONAL VARIETY
YAYOI NAKAMURA and SHINICHI TAJIMA
158
D-MODULES FOR MACAULAY 2
ANTON LEYKIN
169
COMPUTER GRAPHICS IN MATHEMATICAL RESEARCH, FROM ICM 1978 TO ICM 2002: A PERSONAL REFLECTION
THOMAS F. BANCHOFF
180
GENERATING OPTIMAL CURVES VIA THE C++ STANDARD LIBRARY
ANDERS LINNÉR
190
A MATHEMATICAL WEBSERVICE FOR RECOGNIZING THE UNKNOT
M. V. ANDREEVA, I. A. DYNNIKOV and K. POLTHIER
201
MAKING THE MOVE: THE NEXT VERSION OF CINDERELLA
ULRICH KORTENKAMP and JÜRGEN RICHTER-GEBERT
208
PRIME DECOMPOSITION OF POLYNOMIAL IDEALS OVER FINITE FIELDS
KAZUHIRO YOKOYAMA
217
PARTIAL STANDARD BASES FOR FAMILIES
ANNE FRÜHBIS-KRÜGER
228
AN ENVIRONMENT FOR SYMBOLIC AND NUMERIC COMPUTATION
G. DOS REIS, B. MOURRAIN, PH. TRÉBUCHET and F. ROUILLIER
239
COMPUTING ELLIPTIC CURVES USING KASH
MASANARI KIDA
250
COMPUTING THE ENDOMORPHISM TYPE OF ORDINARY ELLIPTIC CURVES OVER FINITE FIELDS WITH KANT V4
M. HENNINGSEN
261
ON DISTRIBUTION OF THE GROUP OF RATIONAL POINTS OF REDUCTIONS OF AN ELLIPTIC CURVE
RYOUHEI TAKEUCHI
271
ALGORITHMIC CONSTRUCTIONS OF ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION
ANDREAS ENGE
281
PARALLEL IMPLEMENTATION OF POLYHEDRAL CONTINUATION METHODS FOR SYSTEMS OF POLYNOMIAL EQUATIONS
MASAKAZU KOJIMA, YANG DAI, KATSUKI FUJISAWA, SUNYOUNG KIM and AKIKO TAKEDA
283
CMPSM: A CONTINUATION METHOD FOR POLYNOMIAL SYSTEMS (MATLAB VERSION)
SUNYOUNG KIM and MASAKAZU KOJIMA
285
GENERATING FUNCTIONS THAT COUNT T-DESIGNS WITH GIVEN AUTOMORPHISM GROUP: ALGORITHMS AND STRUCTURE
JESÚS A. DE LOERA
296
ON THE COMPUTATION OF HILBERT BASES OF CONES
RAYMOND HEMMECKE
307
ENCAPSULATE!
DORON ZEILBERGER
318
COMPUTER ALGEBRA LIBRARY FOR THE CONSTRUCTION OF THE MINIMAL TELESCOPERS
S. A. ABRAMOV, K. O. GEDDES and H. Q. LE
319
TOPCOM: TRIANGULATIONS OF POINT CONFIGURATIONS AND ORIENTED MATROIDS
JÖRG RAMBAU
330
PARALLEL BACKTRACK COMPUTING OF ASSOCIATION SCHEMES USING CLASSROOM PC'S
IZUMI MIYAMOTO
341
ON CANONICAL REPRESENTATIONS OF CONVEX POLYHEDRA
DAVID AVIS, KOMEI FUKUDA and STEFANO PICOZZI
350
DECOMPOSING POLYNOMIAL SYSTEMS INTO STRONG REGULAR SETS
YONG-BIN LI, JING-ZHONG ZHANG and LU YANG
361
WU WEN-TSÜN FORMULAE FOR THE BLENDING OF QUADRATIC SURFACES
NA LEI, TIE-RU WU and GUO-CHEN FENG
372
EPSILON: A LIBRARY OF SOFTWARE TOOLS FOR POLYNOMIAL ELIMINATION
DONGMING WANG
379
MINIMAL SETS OF CRITICAL PAIRS
MASSIMO CABOARA, MARTIN KREUZER and LORENZO ROBBIANO
390
A STUDY IN THE INTEGRATION OF COMPUTER ALGEBRA SYSTEMS: MEMORY MANAGEMENT IN A MAPLE–ALDOR ENVIRONMENT
STEPHEN M. WATT
405
LOCAL AND REMOTE USER INTERFACE FOR ELIMINO THROUGH OMEI
YONGWEI WU, WEIDONG LIAO, DONGDAI LIN and PAUL S. WANG
411
PROGRAMMING THE IBM MATHML EXPRESSION EDITOR FOR INTERACTIVE MATHEMATICAL APPLICATIONS
SAMUEL S. DOOLEY
421
FROM MATHEMATICAL SERVERS TO MATHEMATICAL SERVICES
MIKE DEWAR and DAVID CARLISLE
432
TOWARDS A MATHEMATICAL SERVICES DESCRIPTION LANGUAGE
OLGA CAPROTTI and WOLFGANG SCHREINER
442
AN ALGORITHM TO COMPUTE THE MINIMAL TELESCOPERS FOR RATIONAL FUNCTIONS (DIFFERENTIAL – INTEGRAL CASE)
K. O. GEDDES and H. Q. LE
453
AN AUTOMATED ALGEBRAIC METHOD FOR FINDING EXACT SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS
ZHI-BIN LI, YIN-PING LIU and RUO-XIA YAO
464
PARAMETRIC ANALYSIS OF SYSTEMS OF ALGEBRAIC INEQUALITIES
ANDREY V. BANSHCHIKOV
475
Σit – AN ALDOR LIBRARY FOR LINEAR DIFFERENTIAL AND DIFFERENCE EQUATIONS (ABSTRACT)
MANUEL BRONSTEIN
485
ALLTYPES: AN ALGEBRAIC LANGUAGE AND TYPE SYSTEM
FRITZ SCHWARZ
486
SECURE INTERNET ACCESSIBLE MATHEMATICAL COMPUTATION FRAMEWORK
DONGDAI LIN, ZHIMIN SONG and PAUL S. WANG
501
SOLUTION SPACE SMOOTHING FOR VLSI MODULE PLACEMENT: A COMPUTATIONAL STUDY
SHEQIN DONG, XIANLONG HONG, SONG CHEN and SHUO ZHOU
503
SIMATH — RECENT DEVELOPMENTS IN TMU
T. MATSUI, D. KOBAYASHI, M. ABE and K. NAKAMULA
505
STRUCTURES OF THE POLYNOMIAL TYPES IN PROBLEMS OF THE INVARIANT ANALYSIS AND SYNTHESIS OF DIFFERENTIAL EQUATIONS
A. V. FLEGONTOV
507
BACK MATTER
509
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