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» Algorithms for Large Integer Matrix Problems
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CPC
2000
93views more  CPC 2000»
13 years 7 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»
14 years 1 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
13 years 11 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»
14 years 8 months 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»
14 years 1 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...