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ABSTRACT <p>Nekrasov matrices, as a subclass of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H\)</EquationSource> <EquationSource Format="MATHML"><math display="inline"> <mi>H</mi> </math></EquationSource> </InlineEquation>-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. Our paper extends the study of Nekrasov matrices by introducing a new subclass of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(H\)</EquationSource> <EquationSource Format="MATHML"><math display="inline"> <mi>H</mi> </math></EquationSource> </InlineEquation>-matrices, termed <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(DN\)</EquationSource> <EquationSource Format="MATHML"><math display="inline"> <mrow> <mi>D</mi> <mi>N</mi> </mrow> </math></EquationSource> </InlineEquation>-matrices, and explores their properties, particularly focusing on the Schur complement.</p>

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A New Subclass of H-Matrices and Their Schur Complement

  • 期刊论文

  • 发表日期：

    2026年3月1日

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  • Zhicai Guo,
  • Shenghua Zou,
  • Jianping Wang

摘要

ABSTRACT

Nekrasov matrices, as a subclass of \(H\) 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. Our paper extends the study of Nekrasov matrices by introducing a new subclass of \(H\) H -matrices, termed \(DN\) D N -matrices, and explores their properties, particularly focusing on the Schur complement.