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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 235))

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Abstract

One of the methods used in the solution of the eigenvalue problem is to reduce at first a matrix to a unitarily similar one in the upper Hessenberg form. The subsequent QR iterations for an upper Hessenberg matrix can be performed in an efficient way.

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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). The Reduction to Hessenberg Form. In: Separable Type Representations of Matrices and Fast Algorithms. Operator Theory: Advances and Applications, vol 235. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0612-1_10

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