The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices

• Autorzy: Feng Wang , Deshu Sun
• Języki publikacji: EN

Abstrakty

EN

The theory of Schur complement plays an important role in many fields, such as matrix theory and control theory. In this paper, applying the properties of Schur complement, some new estimates of diagonally dominant degree on the Schur complement of I(II)-block strictly diagonally dominant matrices and I(II)-block strictly doubly diagonally dominant matrices are obtained, which improve some relative results in Liu [Linear Algebra Appl. 435(2011) 3085-3100]. As an application, we present several new eigenvalue inclusion regions for the Schur complement of matrices. Finally, we give a numerical example to illustrate the advantages of our derived results.

Słowa kluczowe

EN

I(II)-Block strictly diagonally dominant matrix; I(II)-Block strictly doubly diagonally dominant matrix; Diagonally dominant degree; Eigenvalue

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-05-08

zaakceptowano

2015-10-14

online

2015-11-05

Twórcy

autor

Feng Wang

• College of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, P.R. China

autor

Deshu Sun

• College of Science, Guizhou Minzu University, Guiyang, Guizhou 550025, P.R. China

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0072