Algebraic Construction of the Sigma Function for General Weierstrass Curves

Autor: Jiryo Komeda, Shigeki Matsutani, Emma Previato

Publikováno v: Mathematics, Vol 10, Iss 16, p 3010 (2022)

The Weierstrass curve X is a smooth algebraic curve determined by the Weierstrass canonical form, yr+A1(x)yr−1+A2(x)yr−2+⋯+Ar−1(x)y+Ar(x)=0, where r is a positive integer, and each Aj is a polynomial in x with a certain degree. It is known th

Externí odkaz: https://doaj.org/article/3a1aa29abf4049c7a861e80f1da3b577

Higher-order linear matrix descriptor differential equations of Apostol-Kolodner type

Publikováno v: Electronic Journal of Differential Equations, Vol 2009, Iss 25,, Pp 1-13 (2009)

In this article, we study a class of linear rectangular matrix descriptor differential equations of higher-order whose coefficients are square constant matrices. Using the Weierstrass canonical form, the analytical formulas for the solution of this g

Externí odkaz: https://doaj.org/article/8233eca0c63544238527c0c4f7f3236f

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Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations

Autor: Froilán M. Dopico, Fernando De Terán

Publikováno v: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

We describe the generic change of the partial multiplicities at a given eigenvalue $\lambda_0$ of a regular matrix pencil $A_0+\lambda A_1$ under perturbations with low normal rank. More precisely, if the pencil $A_0+\lambda A_1$ has exactly $g$ nonz

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d2842f632617c60a5c905de1417f5b4
http://hdl.handle.net/10016/31727

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