Approximating Nonnegative Polynomials via Spectral Sparsification

SIAM Journal on Optimization ◽

10.1137/17m1121743 ◽

2019 ◽

Vol 29 (1) ◽

pp. 852-873

Author(s):

Alperen A. Ergür

Keyword(s):

Nonnegative Polynomials

Download Full-text

A Sum of Squares Approximation of Nonnegative Polynomials

SIAM Journal on Optimization ◽

10.1137/04061413x ◽

2006 ◽

Vol 16 (3) ◽

pp. 751-765 ◽

Author(s):

Jean B. Lasserre

Keyword(s):

Sum Of Squares ◽

Nonnegative Polynomials

Download Full-text

Nonnegative polynomials: A criterion

Proceedings of the IEEE ◽

10.1109/proc.1970.7935 ◽

1970 ◽

Vol 58 (9) ◽

pp. 1370-1371 ◽

Author(s):

D. Siljak

Keyword(s):

Nonnegative Polynomials

Download Full-text

An algorithm for the largest eigenvalue of nonhomogeneous nonnegative polynomials

Numerical Algebra Control & Optimization ◽

10.3934/naco.2014.4.75 ◽

2014 ◽

Vol 4 (1) ◽

pp. 75-91

Author(s):

Nur Fadhilah Ibrahim ◽

Keyword(s):

Largest Eigenvalue ◽

Nonnegative Polynomials ◽

The Largest Eigenvalue

Download Full-text

Chapter 4: Nonnegative Polynomials and Sums of Squares

Semidefinite Optimization and Convex Algebraic Geometry ◽

10.1137/1.9781611972290.ch4 ◽

2012 ◽

pp. 159-202 ◽

Author(s):

Grigoriy Blekherman

Keyword(s):

Sums Of Squares ◽

Nonnegative Polynomials

Download Full-text

Chebyshev’s Problem of the Moments of Nonnegative Polynomials

Mathematical Notes ◽

10.1134/s0001434621110262 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 903-915

Author(s):

V. I. Ivanov

Keyword(s):

Nonnegative Polynomials

Download Full-text

Inequalities for generalized nonnegative polynomials

Constructive Approximation ◽

10.1007/bf01238273 ◽

1992 ◽

Vol 8 (2) ◽

pp. 241-255 ◽

Author(s):

Tam�s Erd�lyi ◽

Attila M�t� ◽

Paul Nevai

Keyword(s):

Nonnegative Polynomials

Download Full-text

Nonnegative Polynomials and Their Carathéodory Number

Discrete & Computational Geometry ◽

10.1007/s00454-014-9588-3 ◽

2014 ◽

Vol 51 (3) ◽

pp. 559-568 ◽

Author(s):

Simone Naldi

Keyword(s):

Nonnegative Polynomials ◽

Carathéodory Number

Download Full-text

AN EXTREMAL PROBLEM FOR ALGEBRAIC POLYNOMIAL

Tamkang Journal of Mathematics ◽

10.5556/j.tkjm.24.1993.4490 ◽

1993 ◽

Vol 24 (2) ◽

pp. 203-208

Author(s):

IGOR Ž. MILOVANOVIĆ ◽

MILAN A. KOVAČEVIĆ

Keyword(s):

Extremal Problem ◽

Algebraic Polynomial ◽

Nonnegative Polynomials ◽

Extremal Properties

Some extremal properties for nonnegative polynomials of degree $\le n$ on the interval $(-1,1)$ are proved.

Download Full-text

An Inequality for the Derivatives of Nonnegative Polynomials

American Mathematical Monthly ◽

10.2307/2314643 ◽

1966 ◽

Vol 73 (10) ◽

pp. 1090

Author(s):

L. F. Shampine

Keyword(s):

Nonnegative Polynomials ◽

Download Full-text

Extremal problems for Lorentz classes of nonnegative polynomials in $L^2$ metric with Jacobi weight

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1988-0920987-2 ◽

1988 ◽

Vol 102 (2) ◽

pp. 283-283

Author(s):

Gradimir V. Milovanovi{ć ◽

Miodrag S. Petkovi{ć

Keyword(s):

Extremal Problems ◽

Nonnegative Polynomials ◽

Download Full-text