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» Algorithms for Ordinal Arithmetic
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IPPS
2010
IEEE
13 years 5 months ago
Improving numerical reproducibility and stability in large-scale numerical simulations on GPUs
The advent of general purpose graphics processing units (GPGPU's) brings about a whole new platform for running numerically intensive applications at high speeds. Their multi-...
Michela Taufer, Omar Padron, Philip Saponaro, Sand...
ICPP
2008
IEEE
14 years 2 months ago
Challenges and Advances in Parallel Sparse Matrix-Matrix Multiplication
We identify the challenges that are special to parallel sparse matrix-matrix multiplication (PSpGEMM). We show that sparse algorithms are not as scalable as their dense counterpar...
Aydin Buluç, John R. Gilbert
CATS
2008
13 years 9 months ago
Generating Balanced Parentheses and Binary Trees by Prefix Shifts
We show that the set Bn of balanced parenthesis strings with n left and n right parentheses can be generated by prefix shifts. If b1, b2, . . . , b2n is a member of Bn, then the k...
Frank Ruskey, Aaron Williams
AAECC
2007
Springer
109views Algorithms» more  AAECC 2007»
14 years 1 months ago
The Tangent FFT
The split-radix FFT computes a size-n complex DFT, when n is a large power of 2, using just 4n lg n−6n+8 arithmetic operations on real numbers. This operation count was first an...
Daniel J. Bernstein
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 5 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff