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MOC
1998
102views more  MOC 1998»
13 years 11 months ago
Classification of integral lattices with large class number
A detailed exposition of Kneser’s neighbour method for quadratic lattices over totally real number fields, and of the sub-procedures needed for its implementation, is given. Usi...
Rudolf Scharlau, Boris Hemkemeier
MOC
1998
96views more  MOC 1998»
13 years 11 months ago
Fast solvers of integral and pseudodifferential equations on closed curves
On the basis of a fully discrete trigonometric Galerkin method and two grid iterations we propose solvers for integral and pseudodifferential equations on closed curves which solv...
Jukka Saranen, Gennadi Vainikko
MOC
1998
107views more  MOC 1998»
13 years 11 months ago
Fast algorithms for discrete polynomial transforms
Consider the Vandermonde-like matrix P := (Pk(cos jπ N ))N j,k=0, where the polynomials Pk satisfy a three-term recurrence relation. If Pk are the Chebyshev polynomials Tk, then P...
Daniel Potts, Gabriele Steidl, Manfred Tasche
MOC
1998
92views more  MOC 1998»
13 years 11 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
MOC
1998
104views more  MOC 1998»
13 years 11 months ago
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details
Abstract. Details of a new technique for obtaining rigorous results concerning the global dynamics of nonlinear systems is described. The technique abstract existence results based...
Konstantin Mischaikow, Marian Mrozek
MOC
1998
87views more  MOC 1998»
13 years 11 months ago
Tables of unit groups and class groups of quintic fields and a regulator bound
Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than 2 × 107 (totally real fi...
Michael E. Pohst, K. Wildanger
MOC
1998
61views more  MOC 1998»
13 years 11 months ago
Polynomials with small Mahler measure
Abstract. We describe several searches for polynomials with integer coefficients and small Mahler measure. We describe the algorithm used to test Mahler measures. We determine all...
Michael J. Mossinghoff
MOC
1998
62views more  MOC 1998»
13 years 11 months ago
A new class of asynchronous iterative algorithms with order intervals
Jean Claude Miellou, Didier El Baz, Pierre Spit&ea...
MOC
1998
94views more  MOC 1998»
13 years 11 months ago
Analysis of third-order methods for secular equations
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an ex...
A. Melman