Improving the efficiency of portable software for linear algebra

Authors:
R. J. Hanson;F. T. Krogh;C. L. Lawson
Affiliations:
Washington State Univ.;Jet Propulsion Lab;Jet Propulsion Lab
Venue:
ACM SIGNUM Newsletter
Year:
1973

Citing 0
Cited 2

An extended set of FORTRAN basic linear algebra subprograms

ACM Transactions on Mathematical Software (TOMS)
Sparse extensions to the FORTRAN Basic Linear Algebra Subprograms

ACM Transactions on Mathematical Software (TOMS)

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Abstract

In algorithms for linear algebraic computations there are a fairly small number of basic operations which are generally responsible for a significant percentage of the total execution time. We mention particularly the dot product operation, ω := xTy, the elementary vector operation, y :=αx+y, and the euclidean vector norm, η = (xTx)1/2.