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rational approximation

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  • Simple rational approximation — (SRA) is a subset of interpolating methods using rational functions. Especially, SRA interpolates a given function with a specific rational function whose poles and zeros are simple, which means that there is no multiplicity in poles and zeros.… …   Wikipedia

  • Rational function — In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. DefinitionsIn the case of one variable, x , a rational function is a function of the form: f(x) = frac{P(x)}{Q(x)}where P and Q are …   Wikipedia

  • Approximation — An approximation (represented by the symbol ≈) is an inexact representation of something that is still close enough to be useful. Although approximation is most often applied to numbers, it is also frequently applied to such things as… …   Wikipedia

  • Approximation theory — In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. Note that what is meant by best and simpler will depend on …   Wikipedia

  • Approximation in algebraic groups — In mathematics, strong approximation in linear algebraic groups is an important arithmetic property of matrix groups. In rough terms, it explains to what extent there can be an extension of the Chinese remainder theorem to various kinds of… …   Wikipedia

  • Dirichlet's approximation theorem — In number theory, Dirichlet s theorem on Diophantine approximation, also called Dirichlet s approximation theorem, states that for any real number α and any positive integer N, there exists integers p and q such that 1 ≤ q ≤ N and This is a… …   Wikipedia

  • Diophantine approximation — In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The absolute value of the difference between the real number to be approximated and… …   Wikipedia

  • Elliptic rational functions — In mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively used in the design of elliptic electronic filters. (These functions are sometimes called… …   Wikipedia

  • Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …   Wikipedia

  • Nonuniform rational B-spline — Non uniform rational B spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. History Development of NURBS (Non Uniform Rational Basis Spline) began in the 1950s by engineers …   Wikipedia

  • Function approximation — The need for function approximations arises in many branches of applied mathematics, and computer science in particular. In general, a function approximation problem asks us to select a function among a well defined class that closely matches (… …   Wikipedia

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