Tensor Global Extrapolation Methods Using the n-Mode and the Einstein Products

Alaa El Ichi, Khalide Jbilou and Rachid Sadaka
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Alaa El Ichi: LABMIA-SI, Department of Mathematics, University Mohammed V Rabat, Rabat 10000, Morocco
Khalide Jbilou: Department of Mathematics LMPA, 50 rue F. Buisson, ULCO, 62100 Calais, France
Rachid Sadaka: LABMIA-SI, Department of Mathematics, University Mohammed V Rabat, Rabat 10000, Morocco

Mathematics, 2020, vol. 8, issue 8, 1-14

Abstract: In this paper, we present new Tensor extrapolation methods as generalizations of well known vector, matrix and block extrapolation methods such as polynomial extrapolation methods or ? -type algorithms. We will define new tensor products that will be used to introduce global tensor extrapolation methods. We discuss the application of these methods to the solution of linear and non linear tensor systems of equations and propose an efficient implementation of these methods via the global-QR decomposition.

Keywords: Einstein product; Krylov subspaces; sequence transformation; tensor extrapolation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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