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Two techniques are introduced to reduce the working storage requirement for the recent multifrontal method of Duff and Reid used in the sparse out-of-core factorization of symmetric matrices. For a given core size, the reduction in working storage allows some large problems to be solved without...
Many planning methods are based on mathematical modeling. A multitude of computer aids covers different facets of the planning activity: data management, linear programming, statistical analysis, graphics, and word processing. However, the diversity and complexity of the available software...
PDFIND is a FORTRAN-77 implementation of an algorithm that finds a positive definite linear combination of two symmetric matrices, or determines that such a combination does not exist. The algorithm is designed to be independent of the data structures used to store the matrices. The user must...
This algorithm is a package of subroutines for Computing Bessel functions H v (1) ( z ), H v (2) ( z ), I v (z) , J v (z) , K v (z) , Y v (z) and Airy functions Ai( z ), Ai′( z ), Bi( z ), Bi′( z ) for orders v ≥0 and complex z in −ॠ
The problem of finding the plane curve of minimal elastic energy with prescribed endpoints and end-directions was solved in 1983 by B. K. P. Horn. Here the solution is discussed, given a very short proof, and extended to include a constant on length.
A theory is given that accounts for the observed behavior of Runge-Kutta codes when the stepsize is restricted by stability. The theory deals with the general case when the dominant eigenvalues of the Jacobian may be a complex conjugate pair. This extends and generalizes the results of Part I of...
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