Computational Methods and Function Theory: Proceedings of a Conference held in Valparaiso, Chile, March 13-18, 1989
Stephan Ruscheweyh, Edward B. Saff, Luis C. Salinas, Richard S. Varga
Springer, Aug 10, 1990 - Computers - 211 pages
The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions - original research articles, a survey and a collection of problems - cover a broad range of such problems.
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Algebraic analytic approximation arctan(2/fc assume Barz Bloch constant bound chain sequence Chern class Chow groups circle codimension coefficients complex compute conformal mapping conjecture contains continued fractions convergence convex Corollary corresponding curvature curve cusp cuspidal cubics cycle defined degeneration Dehn Twist denote differential equation dimension divisor domain droite equality holds equivalent euclidean example extremal polynomial fiber finite fixed follows formula Geometry given hand side Hence Hilb3P3 Hilbert scheme inequality integral intersection products isomorphism Lecture Notes Lemma linear Math Mathematics method modules multiplicity notation obtain orthogonal polynomials parameter plane problem Proceedings proof proper fractional proper fractional map Proposition prove quadrilaterals quadruplets R.S. Varga radius Riemann sphere Ruscheweyh satisfies scheme Schubert sheaf signature smooth solution spherical disk subscheme subset surface surjective tail sequence tangent tangential trisecants Theorem theory vertices vortex sheet zeros