Next: About this document
Up: LiDIA-1.1 Manual
Previous: handlers
References
- 1
- Abramowitz, M., Stegun, I.A.:
Handbook of mathematical functions with formulas, graphs and
mathematical tables. National Bureau of Standards, Washington D.C., 1964
- 2
- Apostol, M. Tom:
CALCULUS. Blaisdell Publ. Co., 1962
- 3
- Berger, F.-D.: Faktorisieren mit elliptischen
Kurven. Diplomarbeit, Universität des Saarlandes, 1992
- 4
- Borwein, J.M., Borwein, P.B.: Pi and the AGM.
Canadian Mathematical Society, Series of Monographs and Advanced Texts,
Wiley-Interscience Publication, 1987
- 5
- Brent, P. Richard:
The Complexity of Multiple-Precision Arithmetic. Complexity
of Computational Problem Solving (R.S. Anderssen and R.P. Brent
Eds.), University of Queensland Press, 1976
- 6
- Brent, P. Richard:
Fast Multiple-Precision Evaluation of Elementary Functions.
Journal of ACM, Vol. 23, p. 242, 1976
- 7
- Brent, P. Richard:
Multiple-precision zero finding methods and the complexity of
elementary function evaluation. Proc. Symp. on Analytic
Computational Complexity, J.F. Traub, Ed., Academic
Press, pp. 151-176, 1976
- 8
- Brent, P. Richard:
Some New Algorithms for High-Precision Computation of Euler's
Constant. Mathematics of Computation, Vol. 34, No. 149, p. 305, 1980
- 9
- Buchmann, J., Kessler, V.:
Computing a lattice basis from a generating system. preprint 1991
- 10
- Carlson, B.C.:
An Algorithm for Computing Logarithms and Arctangens.
Mathematics of Computation, Vol. 26, No. 118, p. 543, 1972
- 11
- Cohen, Henri:
A Course in Computational Algebraic Number Theory. Springer-Verlag,
1993
- 12
- Dentzer, Ralf:
libI: Eine lange ganzzahlige Arithmetik. Universität Heidelberg, 1991
- 13
- Domich, Paul D.:
Residual Hermite Normal Form Computations.
ACM Transactions on Mathematical Software,
Vol. 15, no. 3, pp. 275-286, 1989
- 14
- Düllmann, Stephan:
Ein Algorithmus zur Bestimmung der Klassengruppe positiv
definiter binärer quadratischer Formen.
Dissertation, Universität des Saarlandes,
1991
- 15
- Eckel, Bruce:
Using C++. Osborne McGraw-Hill, 1989
- 16
- Eirund, Helmut:
Objektorientierte Programmierung. Leitfäden der angewandten
Informatik, Teubner, 1993
- 17
- Forster, Otto:
Analysis I. Vieweg Verlag, 1983
- 18
- Granlund, Torbjörn:
The GNU Multiple Precision Arithmetic Library, Free Software
Foundation Inc., Cambridge, 1993
- 19
-
Havas, George, Holt, Derek F., Rees, Sarah:
Recognizing badly presented
-modules.
in: Linear Algebra and its Applications,
Vol. 192,
1993,
pp. 137-163
- 20
-
Havas, George, Majewski, Bohdan S.:
Integer matrix diagonalization.
Key Centre for Software Technology, Department of
Computer Science, The University of Queensland,
TR0277,
1994
- 21
-
Havas, George, Sterling, Leon S.:
Integer matrices and Abelian groups.
Springer-Verlag, Lecture Notes in Computer Science 72,
1979
- 22
- IEEE: IEEE standard 754-1985 for binary
floating-point arithmetic. reprinted in SIGPLAN 22, 2:9-25, 1987
- 23
- Kernigham, W. Brian, Ritchie, M. Dennis:
Programmieren in C. Carl Hanser Verlag, 1983
- 24
- Klatte R., Kulisch U., Wiethoff A., Lawo C. , Rauch M.:
C-XSC A C++ Class Library for Extended Scientific Computing.
Springer-Verlag, 1993
- 25
- Knuth, E. Donald:
The Art of Computer Programming. Addison--Wesley Co.,
Inc., Vol. 2, 1980
- 26
- König, Andrew:
Der C-Experte: Programmieren ohne Panne.
Addison--Wesley Publishing Company Inc., Reading, 1989
- 27
- Lenstra, Arjen:
lip: long integer package. Bellcore, 1989
- 28
- Lenstra, A.K., Lenstra, H.W.Jr., Lovász, L.:
Factoring polynomials with rational coefficients.
Mathematische Annalen 261, pp. 515-534, 1982
- 29
- Lenstra, H.W. Jr.:
Factoring integers with elliptic curves.
Annals of Mathematics 126, pp. 649-673, 1987
- 30
- Lippman, Stanley B.:
C++ Primer.
Addison-Wesley Publishing Company, 1989,
Reprinted with corrections March, 1990
- 31
- Merscher, Patrick:
Standards für objektorientiertes Programmieren in der
Computeralgebra. Diplomarbeit, Universität des Saarlandes, 1992
- 32
-
Müller, Achim:
Effiziente Algorithmen für Probleme der linearen Algebra über
.
Diplomarbeit, Universität des Saarlandes,
1994
- 33
- Müller, Andreas:
Eine FFT-Continuation für die Elliptische Kurven Methode.
Diplomarbeit, Universität des Saarlandes, in preparation.
- 34
- Perron, Oskar:
Die Lehre von den Kettenbrüchen I, II. B.G. Teubner,
Stuttgart, 1977
- 35
- Pohl, Ira:
C++ for C Programmers.
The Benjamin/Cummings Publishing Company, Inc., 1989
- 36
- Ramanujan, Srinivasa:
Collected Papers of Srinivasa Ramanujan. Cambridge
University Press, 1927
- 37
- Schnorr, C.P., Euchner, M.:
Lattice Basis Reduction:
Improved practical algorithms and solving subset sum problems.
Proceedings of the FCT 91, p. 68-85, 1991
- 38
- Shanks, D., Wrench, J.W.:
The Calculation of
to 100,000 decimals. Mathematics
of Computation, Vol. 16, p. 76, 1962
- 39
- Stoer, Josef:
Einführung in die numerische Mathematik I. Springer-Verlag,
1983
- 40
- Stroustrup, Margaret A. Ellis, Bjarne:
The Annotated C++ Reference Manual.
Addison--Wesley Publishing Company, Reading, 1990,
ANSI Base Document
- 41
- Sweeny, D.W.:
On the Computation of Euler's Constant. Mathematics of
Computation, Vol. 15, 1961
- 42
- UNIX System Laboratories, London, England:
C++ Language System Release 3.0.1. 1992,
Release Notes
- 43
- UNIX System Laboratories, London, England:
C++ Language System Release 3.0.1. 1992,
Selected Readings
- 44
- Watson, G.N.:
A Treatise on the Theory of Bessel Functions. 2nd ed.,
Cambridge University Press, 1944
- 45
- de Weger, B.:
Algorithms for Diophantine approximation.
Thesis, Centrum voor Wiskunde en Informatica (CWI), pp. 49-51, 1987
LiDIA Administrator
Thu Aug 10 16:41:08 MET DST 1995