• Unitary tridiagonalization inM(4, ⫳)

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    • 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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      Posted on July 25, 2019

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