Speed limit quasi splines and their application to interpolation with bounded first order derivative

Yoni Levi, Irad Yavneh

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

The problem of computing spline-like functions for ideal data, subject to two-sided inequality constraints on the first-order derivative, are considered, focusing primarily on constant constraints and then generalizing. Using a variational approach, in which the inequality constraints are not explicitly imposed, a special type of exponential splines we call speed limit quasi splines is introduced. A simple, non-parametric, efficient, and robust iterative solver is suggested, which is suitable for a wide range of inequality constraints. Analysis of the convergence factor of this algorithm is provided and supported by extensive numerical tests.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)433-452
عدد الصفحات20
دوريةNumerical Linear Algebra with Applications
مستوى الصوت22
رقم الإصدار3
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 1 مايو 2015

All Science Journal Classification (ASJC) codes

  • !!Algebra and Number Theory
  • !!Applied Mathematics

بصمة

أدرس بدقة موضوعات البحث “Speed limit quasi splines and their application to interpolation with bounded first order derivative'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا