Multiple Recurrences and the Associated Matrix Structures Stemming From Normal Matrices
Multiple Recurrences and the Associated Matrix Structures Stemming From Normal Matrices
There are many classical results in which orthogonal vectors stemming from Krylov subspaces are linked to short recurrence relations, e.g., three term recurrences for Hermitian and short rational recurrences for unitary matrices. These recurrence coefficients can be captured in a Hessenberg matrix, whose structure reflects the relation between the spectrum …