On the Yang-Baxter-like matrix equation for rank-two matrices

• Autorzy: Duanmei Zhou , Guoliang Chen , Jiu Ding
• Języki publikacji: EN

Abstrakty

EN

Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.

Słowa kluczowe

EN

Rank-two matrix; Matrix equation; Jordan form

Kategorie tematyczne

• 15A24: Matrix equations and identities
• 65F15: Eigenvalues, eigenvectors
• 15A18: Eigenvalues, singular values, and eigenvectors

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 340-353

Daty

wydano

2017-01-01

otrzymano

2016-08-13

zaakceptowano

2017-02-07

online

2017-03-29

Twórcy

autor

Duanmei Zhou

• College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000,

autor

Guoliang Chen

• Department of Mathematics, East China Normal University, Shanghai 200241,

autor

Jiu Ding

• Department of Mathematics, East China Normal University, Shanghai 200241,
• Department of Mathematics, The University of Southern Mississippi, Hattiesburg, MS 39406-5045,

Identyfikatory

DOI

10.1515/math-2017-0026