Unitary Tridiagonalization in $M(4, mathbb{C})$

Proceedings Mathematical Sciences

Vishwambhar Pati¹ 

[1] Stat.-Math. Unit, Indian Statistical Institute, RVCE P.O., Bangalore 0 0, India$$

关键词: Unitary tridiagonalization;    4 × 4 matrices;    line bundle;    degree;    algebraic curve.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

Unknown