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Kernels of Quasiseparable of Order One Matrices

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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

Next in this part we study the eigenspaces of quasiseparable of order one matrices. Notice that for a matrix A the matrix A – λ0 I has the same lower and upper quasiseparable generators. This is the reason we study the properties of kernels of the considered matrices.

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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). Kernels of Quasiseparable of Order One Matrices. 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_3

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