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ACM Transactions on Mathematical Software (TOMS), Volume 25 Issue 4, Dec. 1999

C++ implementations of numerical methods for solving differential-algebraic equations: design and optimization considerations
Christopher E. Kees, Cass T. Miller
Pages: 377-403
DOI: 10.1145/332242.334001
Object-oriented programming can produce improved implementations of complex numerical methods, but it can also introduce a performance penalty. Since computational simulation often requires intricate and highly efficient codes, the performance...

A frontal code for the solution of sparse positive-definite symmetric systems arising from finite-element applications
Iain S. Duff, Jennifer A. Scott
Pages: 404-424
DOI: 10.1145/332242.332243
We describe the design, implementation, and performance of a frontal code for the solution of large sparse symmetric systems of linear finite-element equations. The code is intended primarily for positive-definite systems, since numerical...

Blocked algorithms and software for reduction of a regular matrix pair to generalized Schur form
Krister Dackland, Bo Kågström
Pages: 425-454
DOI: 10.1145/332242.332244
A two-stage blocked algorithm for reduction of a regular matrix pair (A , B ) to upper Hessenberg-triangular form is presented. In stage 1 (A, B is reduced to block upper Hessenberg-triangular form using mainly...

Characteristic spectra of the curvature functional: a numerical study in bifurcation
John A. Edwards
Pages: 455-475
DOI: 10.1145/332242.332245
A method is described for the eignevalues of piecewise smooth C2 extremum-energy curves. Typical interpolants are investigated within the framework of their eigensystems, and conclusions are presented...