A geometric programming approach for bivariate cubic L1 splines
نویسندگان
چکیده
منابع مشابه
Joint pricing and production management: a geometric programming approach with consideration of cubic production cost function
Coordination and harmony between different departments of a company can be an important factor in achieving competitive advantage if the company corrects alignment between strategies of different departments. This paper presents an integrated decision model based on recent advances of geometric programming technique. The demand of a product considers as a power function of factors such as produ...
متن کاملGeometric Hermite interpolation by cubic G1 splines
In this paper, geometric Hermite interpolation by planar cubic G1 splines is studied. Three data points and three tangent directions are interpolated per each polynomial segment. Sufficient conditions for the existence of such G1 spline are determined that cover most of the cases encountered in practical applications. The existence requirements are based only upon geometric properties of data a...
متن کاملGeometric Interpolation by Planar Cubic G1 Splines
In this paper, geometric interpolation by G cubic spline is studied. A wide class of sufficient conditions that admit a G cubic spline interpolant is determined. In particular, convex data as well as data with inflection points are included. The existence requirements are based upon geometric properties of data entirely, and can be easily verified in advance. The algorithm that carries out the ...
متن کاملLocal Lagrange Interpolation by Bivariate C 1 Cubic Splines
Lagrange interpolation schemes are constructed based on C 1 cubic splines on certain triangulations obtained from checkerboard quad-rangulations. x1. Introduction Given a triangulation 4 of a simply connected polygonal domain , the space of C 1 cubic splines is deened by S 1 3 (4) := fs 2 C 1 (() : sj T 2 P 3 , all T 2 4g; where P 3 is the space of cubic bivariate polynomials. In this paper we ...
متن کاملBivariate Penalized Splines for Regression
In this paper the asymptotic behavior of penalized spline estimators is studied using bivariate splines over triangulations and an energy functional as the penalty. The rate of L2 convergence is derived, which achieves the optimal nonparametric convergence rate established by Stone (1982). The asymptotic normality of the penalized spline estimators is established, which is shown to hold uniform...
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: Computers & Mathematics with Applications
سال: 2005
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.11.003