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» Algorithms for Large Integer Matrix Problems
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CPC
2000
93views more  CPC 2000»
14 years 11 months ago
Fast Unimodular Counting
This paper describes methods for counting the number of non-negative integer solutions of the system Ax = b when A is a non-negative totally unimodular matrix and b an integral ve...
John Mount
ICC
2007
IEEE
121views Communications» more  ICC 2007»
15 years 6 months ago
On the Expected Complexity Analysis of a Generalized Sphere Decoding Algorithm for Underdetermined Linear Communication Systems
This paper presents an analytical approach to evaluate the expected complexity of a generalized sphere decoding (GSD) algorithm, GSDλ − , for underdetermined integer leastsquare...
Ping Wang, Tho Le-Ngoc
ACSC
2004
IEEE
15 years 3 months ago
On Improving the Memory Access Patterns During The Execution of Strassen's Matrix Multiplication Algorithm
Matrix multiplication is a basic computing operation. Whereas it is basic, it is also very expensive with a straight forward technique of O(N3 ) runtime complexity. More complex s...
Hossam A. ElGindy, George Ferizis
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
16 years 12 days ago
Numerical linear algebra in the streaming model
We give near-optimal space bounds in the streaming model for linear algebra problems that include estimation of matrix products, linear regression, low-rank approximation, and app...
Kenneth L. Clarkson, David P. Woodruff
CHES
2005
Springer
155views Cryptology» more  CHES 2005»
15 years 5 months ago
Scalable Hardware for Sparse Systems of Linear Equations, with Applications to Integer Factorization
Motivated by the goal of factoring large integers using the Number Field Sieve, several special-purpose hardware designs have been recently proposed for solving large sparse system...
Willi Geiselmann, Adi Shamir, Rainer Steinwandt, E...