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...
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...
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...
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...
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...