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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 234))

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Abstract

This chapter considers the product A=A1A2 of block matrices \(A_{1}=\{A^{(1)}_{ij}\}^{N}_{i,j}=1\) and \(A_{1}=\{A^{(2)}_{ij}\}^{N}_{i,j}=1\) with block entries of compatible sizes m i× v j and v i× n j.One assumes that quasiseparable generators of the factors are given and one derives formulas and algorithms to compute quasiseparable generators of the product.

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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). Multiplication of Matrices. In: Separable Type Representations of Matrices and Fast Algorithms. Operator Theory: Advances and Applications, vol 234. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0606-0_17

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