The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix | Zendy

Jianxing Zhao | Zendy; Feng Wang | Zendy; Yaotang Li | Zendy

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The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix

Author(s) -

Jianxing Zhao,

Feng Wang,

Yaotang Li

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/973152

Subject(s) - schur complement , mathematics , diagonally dominant matrix , schur's theorem , complement (music) , schur product theorem , schur decomposition , pure mathematics , eigenvalues and eigenvectors , matrix (chemical analysis) , algebra over a field , invertible matrix , physics , gegenbauer polynomials , chemistry , materials science , composite material , quantum mechanics , orthogonal polynomials , classical orthogonal polynomials , biochemistry , complementation , gene , phenotype

By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and Zhang (2005) and Liu et al. (2012). As an application, we present new inclusion regions for eigenvalues of the Schur complement of Ostrowski matrix. In addition, a new upper bound for the infinity norm on the inverse of the Schur complement of Ostrowski matrix is given. Finally, we give numerical examples to illustrate the theory results

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