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<p>In this article we introduce a new method, which we call a mutation-sunflower method, for calculating max-eigenvectors of a nonnegative irreducible <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(n\times n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>×</mo> <mi>n</mi> </mrow> </math></EquationSource> </InlineEquation> matrix <i>A</i>. Our method works in the general irreducible case; however, its practical usefulness is limited to some special classes of matrices. Our method reduces to solving max-eigenproblems for simple mutation-sunflower matrices that have exactly one positive entry in each row. We include some instructive examples.</p>

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Calculating Eigenvectors in Max-times Algebra by Mutation-Sunflower Method

  • 期刊论文

  • 发表日期：

    2026年3月26日

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  • Seyed Mahmoud Manjegani,
  • Aljoša Peperko,
  • Hojr Shokooh Saljooghi

摘要

In this article we introduce a new method, which we call a mutation-sunflower method, for calculating max-eigenvectors of a nonnegative irreducible \(n\times n\) n × n matrix A. Our method works in the general irreducible case; however, its practical usefulness is limited to some special classes of matrices. Our method reduces to solving max-eigenproblems for simple mutation-sunflower matrices that have exactly one positive entry in each row. We include some instructive examples.