TRIDIAGONALIZING A REAL SYMMETRIC MATRIX: A PARALLEL DIRECT APPROACH USING GIVENS’TRANSFORMATION

K. S. RAJASETHUPATHY Parallel Processing Institute, School of Computer Science, University of Oklahoma, Norman, OK, 73019, USA

GWAN-MING THIO Parallel Processing Institute, School of Computer Science, University of Oklahoma, Norman, OK, 73019, USA

S. K. DHALL Parallel Processing Institute, School of Computer Science, University of Oklahoma, Norman, OK, 73019, USA

S. LAKSHMIVARAHAN Parallel Processing Institute, School of Computer Science, University of Oklahoma, Norman, OK, 73019, USA

Abstract

A direct parallel algorithm to tridiagonalize a real symmetric matric matrix using Givens transformation is presented. The algorithm is optimal and has a time complexity of O(NlogN) for matrices of order N.

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G.1.3

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TRIDIAGONALIZING A REAL SYMMETRIC MATRIX: A PARALLEL DIRECT APPROACH USING GIVENS’TRANSFORMATION

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TRIDIAGONALIZING A REAL SYMMETRIC MATRIX: A PARALLEL DIRECT APPROACH USING GIVENS’TRANSFORMATION

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