Title :
A distribution independent algorithm for the reduction to tridiagonal form using one-sided rotations
Author_Institution :
Res. Sch. for Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
A scalable algorithm for the reduction to tridiagonal form of symmetric matrices is developed. It uses one-sided rotations instead of similarity transforms. This allows a data distribution independent implementation with low communication volume. Timings on the Fujitsu AP 1000 and VPP 500 show good performance
Keywords :
eigenvalues and eigenfunctions; mathematics computing; matrix algebra; parallel processing; Fujitsu AP 1000; VPP 500; data distribution independent implementation; distribution independent algorithm; low communication volume; one-sided rotations; symmetric matrices; tridiagonal form reduction; Algorithms; Artificial intelligence; Concurrent computing; Costs; Eigenvalues and eigenfunctions; Jacobian matrices; Libraries; Sparse matrices; Symmetric matrices; Timing;
Conference_Titel :
Algorithms and Architectures for Parallel Processing, 1995. ICAPP 95. IEEE First ICA/sup 3/PP., IEEE First International Conference on
Conference_Location :
Brisbane, Qld.
Print_ISBN :
0-7803-2018-2
DOI :
10.1109/ICAPP.1995.472197