The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications

Jianzhou Liu, Juan Zhang, Lixin Zhou and Gen Tu

Applied Mathematics and Computation, 2018, vol. 320, issue C, 251-263

Abstract: In this paper, we estimate the Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices. As an application, we offer new bounds of the determinant for several special matrices, which improve the related results in certain case. Further, we give an estimation on the infinity norm bounds for the inverse of Schur complement of Nekrasov matrices. Finally, we introduce new methods called Schur-based super relaxation iteration (SSSOR) method and Schur-based conjugate gradient (SCG) method to solve the linear equation by reducing order. The numerical examples illustrate the effectiveness of the derived result.

Keywords: Schur complement; Nekrasov matrices; Diagonally dominant matrix; Bound; Determinant (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:320:y:2018:i:c:p:251-263

DOI: 10.1016/j.amc.2017.09.032

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