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Fast and stable solution¶of banded-plus-semiseparable linear systems

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Abstract:

We describe a stable algorithm, having linear complexity, for the solution of banded-plus-semiseparable linear systems. The algorithm exploits the structural properties of the inverse of a semiseparable matrix. Stability is achieved by combining these properties with partial pivoting techniques. Several numerical experiments are shown to confirm the effectiveness of the proposed approach.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Udine, 33100 Udine, Italy, , , , , , IT

    D. Fasino

  2. Dipartimento di Matematica, Università di Pisa, 56127 Pisa, Italy, , , , , , IT

    L. Gemignani

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  1. D. Fasino
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  2. L. Gemignani
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Received: April 2002 / Accepted: September 2002

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Fasino, D., Gemignani, L. Fast and stable solution¶of banded-plus-semiseparable linear systems. CALCOLO 39, 201–217 (2002). https://doi.org/10.1007/s100920200009

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  • DOI: https://doi.org/10.1007/s100920200009

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