Displaying similar documents to “New iterative codes for𝓗-tensors and an application”

New criteria for H-tensors and an application

Feng Wang, Deshu Sun (2015)

Open Mathematics

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Some new criteria for identifying H-tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. Advantages of results obtained are illustrated by numerical examples.

Alternating iterative scheme for the solution of block-structured systems

Šípek, Jan, Zítko, Jan

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We consider the solution of linear system with a block-structured matrix of saddle point type. The solution technique is based on the idea of the classical alternating-direction implicit iterative method where symmetric-antisymmetric splitting of the coefficient matrix is used. To find an optimal parameter for solving the system with a symmetric matrix, the polynomial filters are considered. The CGW method is used for systems with skew-symmetric matrix. The numerical tests compare the...

On the domain of applicability of the Mori-Tanaka effective medium theory

Mauro Ferrari (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.

Iterative reconstruction methods for wave equations

Sébastien Marinesque (2012)

ESAIM: Proceedings

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Some new iterative techniques are defined to solve reversible inverse problems and a common formulation is explained. Numerical improvements are suggested and tests validate the methods.