{"title":"The Golden Quandratic Equations","authors":"Seiichi Iwamoto, 岩本 誠一, セイイチ イワモト","doi":"10.15017/17082","DOIUrl":null,"url":null,"abstract":"This paper considers a sequence of quadratic equations(QEs),which are called Golden quadratic equations. The first Golden QE is a well known Fibonacci QE. We introduce a general form of Golden QE― the -th Golden quadratic equation― by solving an eigenvalue problem of2×2 integer symmetric matrices. We translate the eigenvalue problem into an equivalent optimization problem.","PeriodicalId":246568,"journal":{"name":"kenkyu or Journal of political economy","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"kenkyu or Journal of political economy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15017/17082","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper considers a sequence of quadratic equations(QEs),which are called Golden quadratic equations. The first Golden QE is a well known Fibonacci QE. We introduce a general form of Golden QE― the -th Golden quadratic equation― by solving an eigenvalue problem of2×2 integer symmetric matrices. We translate the eigenvalue problem into an equivalent optimization problem.
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