Abstract
In this chapter the problem of completing a given band \(\tilde{A}=\{{A_{ij}\mid i-j\mid\leq n}\}^N_{i,j=1},n\geq 1\) to a Green matrix of order ?? is considered. The submatrices of the band A,\(B_{k}=\tilde{A}(k-n+1:k,k-n+1:k),\qquad k=n+1,...,N-1,\) play a key role.
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© 2014 Springer Basel
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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). Completion to Green 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_8
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DOI: https://doi.org/10.1007/978-3-0348-0606-0_8
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0605-3
Online ISBN: 978-3-0348-0606-0
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