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Numerical Analysis and Applications

2026 year, number 1

A new subclass of H-matrices and its Schur complement

Zhicai Guo, Shenghua Zou, Jianping Wang
School of Public Basic Teaching Department, Ji'an College, Ji'an, Jiangxi, China
Keywords: H-matrices, Nekrasov matrices, DN-matrices, Schur complement

Abstract

Nekrasov matrices, as a subclass of H-matrices, exhibit unique functionalities and hold significant importance in diverse fields. These matrices are characterized by their distinctive structure, which endows them with numerous remarkable properties. This paper extends the study of Nekrasov matrices by introducing a new subclass of H-matrices, termed DN-matrices, and explores their properties, particularly focusing on the Schur complement.