|GNU Scientific Library Reference Manual - Third Edition (v1.12)|
by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi
Paperback (6"x9"), 592 pages, 60 figures
RRP £24.95 ($39.95)
The process of balancing a matrix applies similarity transformations
to make the rows and columns have comparable norms. This is
useful, for example, to reduce roundoff errors in the solution
of eigenvalue problems. Balancing a matrix A consists
of replacing A with a similar matrix
A' = D^(-1) A D
where D is a diagonal matrix whose entries are powers of the floating point radix.
- Function: int gsl_linalg_balance_matrix (gsl_matrix * A, gsl_vector * D)
- This function replaces the matrix A with its balanced counterpart and stores the diagonal elements of the similarity transformation into the vector D.
|ISBN 0954612078||GNU Scientific Library Reference Manual - Third Edition (v1.12)||See the print edition|