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The Factorization Based Implicit Method

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Separable Type Representations of Matrices and Fast Algorithms

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

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Abstract

Here we use another representation of a matrix from the class HN, which may be better for ensuring the stability of the iteration process. As data we use, instead of generators, the elementary unitary matrices whose product forms a corresponding unitary matrix from the class UN. Notice that in this case also it is necessary to compute upper triangular generators in the algorithm.

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© 2014 Springer Basel

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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). The Factorization Based Implicit Method. 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_15

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