On the expected number of zeros of nonlinear equations

This paper investigates the expected number of complex roots of nonlinear equations. Those equations are assumed to be analytic, and to belong to certain inner product spaces. Those spaces are then endowed with the Gaussian probability distribution.

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Bibliographic Details
Published inFoundations of computational mathematics Vol. 13; no. 6; p. 867
Main Author Malajovich, Gregorio
Format Journal Article
LanguageEnglish
Published Springer 01.12.2013
Subjects
Nonlinear theories
Zero (The number)
Brazil
Online AccessGet full text
ISSN1615-3375
DOI10.1007/sl0208-013-9171-y

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Summary:This paper investigates the expected number of complex roots of nonlinear equations. Those equations are assumed to be analytic, and to belong to certain inner product spaces. Those spaces are then endowed with the Gaussian probability distribution.
ISSN:1615-3375
DOI:10.1007/sl0208-013-9171-y