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CORR
2006
Springer
151views Education» more  CORR 2006»
13 years 11 months ago
Fast matrix multiplication is stable
We perform forward error analysis for a large class of recursive matrix multiplication algorithms in the spirit of [D. Bini and G. Lotti, Stability of fast algorithms for matrix m...
James Demmel, Ioana Dumitriu, Olga Holtz, Robert K...
CORR
2006
Springer
83views Education» more  CORR 2006»
13 years 11 months ago
Fast linear algebra is stable
In [12] we showed that a large class of fast recursive matrix multiplication algorithms is stable in a normwise sense, and that in fact if multiplication of n-by-n matrices can be...
James Demmel, Ioana Dumitriu, Olga Holtz
HCI
2009
13 years 8 months ago
Complemental Use of Multiple Cameras for Stable Tracking of Multiple Markers
Abstract. In many applications of Augmented Reality (AR), rectangular markers are tracked in real time by capturing with cameras. In this paper, we consider the AR application in w...
Yuki Arai, Hideo Saito
ACL
1997
14 years 8 days ago
Fast Context-Free Parsing Requires Fast Boolean Matrix Multiplication
Valiant showed that Boolean matrix multiplication (BMM) can be used for CFG parsing. We prove a dual result: CFG parsers running in time O([Gl[w[3-e) on a grammar G and a string w...
Lillian Lee
JACM
2002
83views more  JACM 2002»
13 years 10 months ago
Fast context-free grammar parsing requires fast boolean matrix multiplication
In 1975, Valiant showed that Boolean matrix multiplication can be used for parsing contextfree grammars (CFGs), yielding the asympotically fastest (although not practical) CFG par...
Lillian Lee