Scholarlink

<p>This article presents a new formula for the Drazin inverse of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(P+Q\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>P</mi> <mo>+</mo> <mi>Q</mi> </mrow> </math></EquationSource> </InlineEquation> under certain conditions, where <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({P, Q}\in \mathbb {C}^{n\times n}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mrow> <mi>P</mi> <mo>,</mo> <mi>Q</mi> </mrow> <mo>∈</mo> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mrow> <mi>n</mi> <mo>×</mo> <mi>n</mi> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>, extending existing results in the literature. These developments are subsequently applied to construct new representations of the Drazin inverse for a block matrix under prescribed assumptions. Finally, numerical examples are provided to illustrate and validate the theoretical results established in this paper.</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

Explicit additive results on Drazin inverse and its applications

  • 期刊论文

  • 发表日期：

    2026年2月3日

查看全文
  • Yue Zhao,
  • Daochang Zhang,
  • Dijana Mosić

摘要

This article presents a new formula for the Drazin inverse of \(P+Q\) P + Q under certain conditions, where \({P, Q}\in \mathbb {C}^{n\times n}\) P , Q ∈ C n × n , extending existing results in the literature. These developments are subsequently applied to construct new representations of the Drazin inverse for a block matrix under prescribed assumptions. Finally, numerical examples are provided to illustrate and validate the theoretical results established in this paper.