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Convergence of the shifted QR algorithm on 3×3 normal matrices

Research paper by Steve Batterson

Indexed on: 01 Dec '90Published on: 01 Dec '90Published in: Numerische Mathematik



Abstract

This paper concerns the convergence properties of the shifted QR algorithm on 3×3 normal, Hessenberg matrices. The algorithm is viewed as an iteration on one dimensional subspaces. A class of matrices is characterized for which HQR2 is unable to approximate a solution.