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A uniqueness theorem of a system of nonlinear equations and its applications

A uniqueness theorem of a system of nonlinear equations and its applications A uniqueness theorem of a solution of a system of nonlinear equations is given. Using this result uniqueness theorems for power orthogonal polynomials, for a Gaussian quadrature formula of an extended Chebyshev system, and for a Gaussian Birkhoff quadrature formula are easily deduced. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A uniqueness theorem of a system of nonlinear equations and its applications

Liu, Rong
Acta Mathematicae Applicatae Sinica , Volume 31 (1) – Apr 12, 2015
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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-015-0454-8
Publisher site
See Article on Publisher Site

Abstract

A uniqueness theorem of a solution of a system of nonlinear equations is given. Using this result uniqueness theorems for power orthogonal polynomials, for a Gaussian quadrature formula of an extended Chebyshev system, and for a Gaussian Birkhoff quadrature formula are easily deduced.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Apr 12, 2015

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