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

Yoni Levi, Irad Yavneh

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים

תקציר

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.

שפה מקוריתאנגלית
עמודים (מ-עד)433-452
מספר עמודים20
כתב עתNumerical Linear Algebra with Applications
כרך22
מספר גיליון3
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 1 מאי 2015

ASJC Scopus subject areas

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