Scholarlink

<p>The class of strictly <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12190_2025_2418_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>-diagonally dominant matrices is an important subclass of the nonsingular <i>H</i>-matrices. In this paper, by use of the properties of Schur complements, we present lower and upper bounds for determinants of strictly <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12190_2025_2418_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>-diagonally dominant matrices. Moreover, these bounds may improve the corresponding results for the strictly diagonally dominant matrices. The effectiveness and superiority of the obtained bounds are demonstrated through several numerical examples.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Estimations for determinants of strictly \(\gamma \)-diagonally dominant matrices

  • 期刊论文

  • 发表日期：

    2025年2月18日

查看全文
  • Zhen-Hua Lyu

摘要

The class of strictly \(\gamma \) γ -diagonally dominant matrices is an important subclass of the nonsingular H-matrices. In this paper, by use of the properties of Schur complements, we present lower and upper bounds for determinants of strictly \(\gamma \) γ -diagonally dominant matrices. Moreover, these bounds may improve the corresponding results for the strictly diagonally dominant matrices. The effectiveness and superiority of the obtained bounds are demonstrated through several numerical examples.