{"title":"Algorithm for computing formal invariants of linear differential systems","authors":"A. Hilali, A. Wazner","doi":"10.1145/32439.32478","DOIUrl":null,"url":null,"abstract":"This paper deals with the system of n linear differential equations (*) y'(x) = A(x)y where A(x) is a matrix with formal series coefficients. A sequence of formal invariants related to (*) is defined. An algorithm which reduces (*) by means of meromorphic transformations to a “super-irreducible” form is given. The computation of these invariants follows directly from this form. This algorithm is implemented in Reduce.","PeriodicalId":314618,"journal":{"name":"Symposium on Symbolic and Algebraic Manipulation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1986-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symposium on Symbolic and Algebraic Manipulation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/32439.32478","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
This paper deals with the system of n linear differential equations (*) y'(x) = A(x)y where A(x) is a matrix with formal series coefficients. A sequence of formal invariants related to (*) is defined. An algorithm which reduces (*) by means of meromorphic transformations to a “super-irreducible” form is given. The computation of these invariants follows directly from this form. This algorithm is implemented in Reduce.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
