Ontogeny of Osmoregulatory Structures in the Shrimp Penaeus japonicus (Crustacea, Decapoda)

Volume: 186Start Page: 29End Page: 4

Ontogeny of Osmoregulation and Salinity Tolerance in Two Decapod Crustaceans: Homarus americanus and Penaeus japonicus

Volume: 175Start Page: 102End Page: 11

Solvers for Nonlinear Algebraic Equations: Where Are We Today?

The aim of this paper is to summarize the state-of-the-art in solving systems of nonlinear algebraic equations. We are interested in two aspects of the problem. First, the existing solvers and their robustness. Second, the existing test-problem libraries and their adequacy. We explore both issues from the engineering-oriented perspective (e.g. by approaching the solvers as black-box software). Experimental data illustrating our main points is presented and discussed

Bibliography

frontal Package, technical report TR-93-020, Computer and Information Sciences Dept., University of Florida, June 1993. [12] J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li and J. W. H. Liu, A Supernodal Approach to Sparse Partial Pivoting, preprint, Xerox Palo Alto Research Center, 1995. [13] I. S. Duff, A. M. Erisman and J. K. Reid, Direct Methods for Sparse Matrices, Oxford University Press, London, 1986. 102 APPENDIX A. A.2. SOFTWARE 101 ` indicator for the choice of t T the execution trace t numerical threshold U right upper triangle matrix V set of intermediate variables v i node; variable ¯ v i to v i corresponding vector of adjoints v c(i) c(i)th critical var