• Unitary tridiagonalization inM(4, ⫳)

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      https://www.ias.ac.in/article/fulltext/pmsc/111/04/0381-0397

    • Keywords

       

      Unitary tridiagonalization; 4x4 matrices; line bundle; degree; algebraic curve

    • Abstract

       

      A question of interest in linear algebra is whether alln xn complex matrices can be unitarily tridiagonalized. The answer for alln ≠ 4 (affirmative or negative) has been known for a while, whereas the casen = 4 seems to have remained open. In this paper we settle then = 4 case in the affirmative. Some machinery from complex algebraic geometry needs to be used.

    • Author Affiliations

       

      Vishwambhar Pati1

      1. Stat.-Math. Unit, Indian Statistical Institute, RVCE P.O., Bangalore - 560 059, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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