International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 49, Pages 3091-3099
doi:10.1155/S0161171203302030

Expression for a general element of an SO(n) matrix

T.M. Janaki1 and Govindan Rangarajan2

1Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
2Department of Mathematics and Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India

Abstract

We derive the expression for a general element of an SO(n) matrix. All elements are obtained from a single element of the matrix. This has applications in recently developed methods for computing Lyapunov exponents.