A Lower Bound for the Norm of the Minimal Residual Polynomial

Klaus Schiefermayr

Type: Article

Publication Date: 2010-08-04

Citations: 8

DOI: https://doi.org/10.1007/s00365-010-9119-2

View Publication

Download PDF

Locations

Constructive Approximation - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A lower bound for the norm of the minimal residual polynomial	2013	Klaus Schiefermayr
+	A lower bound for the norm of the minimal residual polynomial	2013	Klaus Schiefermayr
+ PDF Chat	On the zeros of polynomials of minimal 𝐿_{𝑝}-norm	1987	András Kroó Franz Peherstorfer
+	The norm of minimal polynomials on several intervals	2010	Вилмос Тотик
+	Polynomials of Degree n	2022	Jesús Ferrer Domingo Garcı́a Manuel Maestre Gustavo A. Muñoz Daniel L. Rodríguez Juan B. Seoane
+ PDF Chat	The integer Chebyshev 问题 and its applications	2024	Cong Wang Qiang Wu
+ PDF Chat	Estimates for the imaginary parts of the zeros of a polynomial	1974	André Giroux
+	Extreme Points of the Unit Ball B4 in the Space of Real Polynomials of Degree at most Four with the Supremum Norm	2022	Jan-Michael Holzinger Róbert Vajda
+ PDF Chat	Concerning polynomials on the unit interval	1987	Q. M. Tariq
+ PDF Chat	Concerning Polynomials on the Unit Interval	1987	Q. M. Tariq
+ PDF Chat	On Bernstein's inequality for polynomials	2019	Hervé Queffélec Rachid Zarouf
+ PDF Chat	On Bernstein's inequality for polynomials	2019	Hervé Queffélec Rachid Zarouf
+	Numerical radius inequalities and estimation of zeros of polynomials	2023	Suvendu Jana Pintu Bhunia Kallol Paul
+	On an operator preserving inequalities between polynomials	2013	N. A. Rather Suhail Gulzar
+	On an operator preserving inequalities between polynomials	2013	N. A. Rather Suhail Gulzar
+	Asymptotic representation of weighted L8- and L1-minimal polynomials	2008	András Kroó Franz Peherstorfer
+ PDF Chat	Polynomials of Least Deviation from Zero in Sobolev p-Norm	2022	Abel Díaz-González Héctor Pijeira-Cabrera Javier Quintero-Roba
+	Average norms of polynomials	2002	Toufik Mansour
+	Polynomials of least deviation from zero in Sobolev $p$-norm	2021	Abel Díaz-González Héctor Pijeira-Cabrera Javier Quintero-Roba
+	Polynomials of least deviation from zero in Sobolev $p$-norm	2021	Abel Díaz-González Héctor Pijeira-Cabrera Javier Quintero-Roba

Works That Cite This (8)

Action	Title	Year	Authors
+	Big-Step-Little-Step: Efficient Gradient Methods for Objectives with Multiple Scales	2021	Jonathan A. Kelner Annie Marsden Vatsal Sharan Aaron Sidford Gregory Valiant Honglin Yuan
+	Estimates for the asymptotic convergence factor of two intervals	2010	Klaus Schiefermayr
+ PDF Chat	Properties and Examples of Faber–Walsh Polynomials	2016	Olivier Sète Jörg Liesen
+	The growth of polynomials outside of a compact set—The Bernstein–Walsh inequality revisited	2017	Klaus Schiefermayr
+ PDF Chat	Asymptotics of Chebyshev polynomials, V. residual polynomials	2021	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Estimates for the asymptotic convergence factor of two intervals	2013	Klaus Schiefermayr
+	Faber--Walsh polynomials and polynomial approximation problems on two disjoint intervals	2015	Olivier Sète Jörg Liesen
+	Asymptotics of Chebyshev Polynomials, V. Residual Polynomials	2020	Jacob S. Christiansen Barry Simon Maxim Zinchenko

Works Cited by This (14)

Action	Title	Year	Authors
+	Potential Theory in the Complex Plane	1995	Thomas Ransford
+	From Potential Theory to Matrix Iterations in Six Steps	1998	Tobin A. Driscoll Kim-Chuan Toh Lloyd N. Trefethen
+	The norm of minimal polynomials on several intervals	2010	Вилмос Тотик
+	ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES	1986	Alexander Ivanovich Aptekarev
+	On Hybrid Semi-Iterative Methods	1989	Michael Eiermann X. Li R. S. Varga
+ PDF Chat	Polynomial inverse images and polynomial inequalities	2001	Вилмос Тотик
+	Chebyshev polynomials for disjoint compact sets	1992	Bernd Fischer
+	Chebyshev constants and the inheritance problem	2008	Вилмос Тотик
+	Inverse images of polynomial mappings and polynomials orthogonal on them	2003	Franz Peherstorfer
+	Extremal polynomials associated with a system of curves in the complex plane	1969	Harold Widom