ACM Home Page
Please provide us with feedback. Feedback
A solution to the extended GCD problem with applications
Full text PdfPdf (1.16 MB)
Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents
Kihei, Maui, Hawaii, United States
Pages: 109 - 116  
Year of Publication: 1997
ISBN:0-89791-875-4
Author
Arne Storjohann  Eidgenössische Technische Hochschule, CH-8092 Zürich, Switzerland
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 14,   Citation Count: 2
Additional Information:

references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/258726.258762
What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
FORD, D., AND HAVAS, G. A new algorithm and refined bounds for extended gcd computation. Tech. Rep. 354, The University of Queensland, 1995. Suhmitted.
3
 
4
 
5
 
6
HAVAS, G., AND MAJEWSKI, B. S. Diagonalization of integer matrices. To appear in Journal of Symbolic Computation.
 
7
HAVAS, G., AND MAJEWSKI, B. S. Hermite normal form computation for integer matrices. Congressua Numerantium 105 (1994), 87-96.
 
8
 
9
HAVAS, G., MAJEWSKI, B. S., AND MATTHEWS, K. R. Extended gcd algorithms. Tech. Rep. 302, The University of Queensland, 1995. Submitted.
 
10
HOWELL, J. A. Spans in the module (Z,n)*. Linear and Multilinear Algebra 19 (1986), 67--77.
 
11
 
12
 
13
KALTO~EN, E., KamHNAMOORTnY, M. S., AND SAUN- OERS, B. D. Parallel algorithms for matrix normal forms. Linear Algebra and its Applications 136 (1990), 189-208.
 
14
KANOLD, H.-J. 0ber eine zahlentheoretische Function von E. Jacobsthal. Abh. Braunschwieg. Wiss. Gesellsch. 25 (1975), 7-10.
 
15
16
 
17
SCHONHAGE, A., AND STRASSEN, V. Schnelle Multiplikation grosser Zahlen. Computing 7 (1971), 281-292.
 
18
SMITH, H. J. S. On systems of linear indeterminate equations and congruences. Phil. Trans. Roy. Soc. London 151 (1861), 293-326.
 
19
STORJOHANN, A. Computing Hermite and Smith norreal forms of triangular integer matrices. Tech. Rep. 256, Departement Informatik, ETH Ziirich, Dec. 1996.
 
20
STORJOrlANN, A. A fast+practical+deterministic algorithm for triangularizing integer matrices. Tech. Rep. 255, Departement Informatik~ ETH Ziirich, Dec. 1996.
21
22
 
23
STOP.JOHANN, A., AND LABAHN, G. A fast Las Vegas algorithm for computing the Smith normal form of a polynomial matrix. Linear Algebra and its Applications 253 (1997), 155--173.
 
24