We propose a new dense method for determining the numerical solution to a class of third order tensor linear equations. The approach does not require the use of the coefficient matrix in Kronecker form, thus it allows the treatment of structured very large problems. A particular version of the method for symmetric matrices is also discussed. Numerical experiments illustrate the properties of the proposed algorithm.
Numerical solution of a class of third order tensor linear equations / Simoncini V.. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - STAMPA. - 13:3(2020), pp. 429-439. [10.1007/s40574-020-00247-4]
Numerical solution of a class of third order tensor linear equations
Simoncini V.
2020
Abstract
We propose a new dense method for determining the numerical solution to a class of third order tensor linear equations. The approach does not require the use of the coefficient matrix in Kronecker form, thus it allows the treatment of structured very large problems. A particular version of the method for symmetric matrices is also discussed. Numerical experiments illustrate the properties of the proposed algorithm.| File | Dimensione | Formato | |
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