Basc: constrained approximation by semidefinite programming Academic Article

abstract

• The authors 2016. This article details the theoretical grounds for a semidefinite-programming-based method that computes best approximants by splines under some general constraints and relative to several function norms, notably the max-norm. The method has been implemented as a matlab package called Basc (Best Approximations by Splines under Constraints), which relies on the two external packages Chebfun and CVX.

authors

• Foucart, Simon

published proceedings

• IMA JOURNAL OF NUMERICAL ANALYSIS

author list (cited authors)

• Foucart, S., & Powers, V.

citation count

• 3

complete list of authors

• Foucart, Simon||Powers, Vladlena

publication date

• April 2017

publisher

• Oxford University Press (OUP)  Publisher

published in

• IMA Journal of Numerical Analysis  Journal

keywords

• Constrained Approximation
• Non-negative Polynomials
• Riesz-fejer Theorem
• Semidefinite Programming
• Simultaneous Approximation

Digital Object Identifier (DOI)

• 10.1093/imanum/drw014

start page

• 1066

end page

• 1085

volume

• 37

issue

• 2

URL

• http://dx.doi.org/10.1093/imanum/drw014