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25th Annual Symposium on Foundations of Computer Science (FOCS 1984)
Singer Island, FL
October 24October 26
ISBN: 081860591X
ASCII Text  x  
W. Eberly, "Very Fast Parallel Matrix and Polynomial Arithmetic," 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, pp. 2130, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984.  
BibTex  x  
@article{ 10.1109/SFCS.1984.715897, author = {W. Eberly}, title = {Very Fast Parallel Matrix and Polynomial Arithmetic}, journal ={2013 IEEE 54th Annual Symposium on Foundations of Computer Science}, volume = {0}, year = {1984}, isbn = {081860591X}, pages = {2130}, doi = {http://doi.ieeecomputersociety.org/10.1109/SFCS.1984.715897}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  CONF JO  2013 IEEE 54th Annual Symposium on Foundations of Computer Science TI  Very Fast Parallel Matrix and Polynomial Arithmetic SN  081860591X SP21 EP30 A1  W. Eberly, PY  1984 VL  0 JA  2013 IEEE 54th Annual Symposium on Foundations of Computer Science ER   
We present very efficient arithmetic circuits for the computation of the determinants and inverse of band matrices and for interpolation and polynomial arithmetic over arbitrary ground fields. For input size n the circuits for band matrix inversion (for constant band width) over infinite fields, and the circuits for polynomial arithmetic over arbitrary fields, have optimal depth 0(log n) and polynomial size. The algorithm for band matrix inversion is based on an extension of the method of modification (from numerical analysis) which includes a formula for the determinant of a modified matrix.
Citation:
W. Eberly, "Very Fast Parallel Matrix and Polynomial Arithmetic," focs, pp.2130, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984
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