منابع مشابه
Minimal Degree Coprime Factorization of Rational Matrices
Given a rational matrix G with complex coefficients and a domain Γ in the closed complex plane, both arbitrary, we develop a complete theory of coprime factorizations of G over Γ, with denominators of McMillan degree as small as possible. The main tool is a general pole displacement theorem which gives conditions for an invertible rational matrix to dislocate by multiplication a part of the pol...
متن کاملRational curves of minimal degree and characterizations of Pn
In this paper we investigate complex uniruled varieties X whose rational curves of minimal degree satisfy a special property. Namely, we assume that the tangent directions to such curves at a general point x ∈ X form a linear subspace of TxX. As an application of our main result, we give a unified geometric proof of Mori’s, Wahl’s, Campana-Peternell’s and Andreatta-Wísniewski’s characterization...
متن کاملRational Approximation
Recently several authors have investigated the question of approximating certain functions by reciprocals of polynomials under the uniform norm on the positive real axis . Perhaps these results have some applications in industry and elsewhere (cf. [1, 36]) . Our present motivation is to give a detailed list of all the known results with simplified proofs in some cases and many new results and f...
متن کاملRational Minimal Surfaces
In this paper we investigate rational minimal surfaces { a special class of umbilic-free minimal surfaces with nite total curvature and Enneper type ends. We deene an iteration for Gauss maps and show that it can be used to produce innnitely many families of rational functions that yield rational minimal surfaces{the Schwarzian derivative plays an important role in the proof. We also investigat...
متن کاملMultivariate Rational Approximation
We estimate the error in approximating a function f by rational functions of degree n in the norm of Lq(Q), Q := [0,1]d. Among other things, we prove that if f is in the Sobolev space Wk(Q) and if k/d l/p + l/q > O, then f can be approximated by rational functions of degree n to an order O(n-k/d).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1977
ISSN: 0035-7596
DOI: 10.1216/rmj-1977-7-4-659