Πλοήγηση ανά Θέμα "Linear algebra"

Computations in modules over commutative domains

Akritas, A. G.; Malaschonok, G. I. (2007)

This paper is a review of results on computational methods of linear algebra over commutative domains. Methods for the following problems are examined: solution of systems of linear equations, computation of determinants, ...

Elliptical higher rank numerical range of some Toeplitz matrices

Adam M., Aretaki A., Spitkovsky I.M. (2018)

The higher rank numerical range is described for a class of matrices which happen to be unitarily reducible to direct sums of (at most) 2-by-2 blocks. In particular, conditions are established under which tridiagonal ...

The McCormack model: Channel flow of a binary gas mixture driven by temperature, pressure and density gradients

Siewert, C. E.; Valougeorgis, D. (2004)

An analytical version of the discrete-ordinates method (the ADO method) is used to establish concise and particularly accurate solutions to the problems of Poiseuille flow, thermal-creep flow and diffusion flow for a binary ...

Microstructural effects on the response of a multi-layered elastic substrate

Wongviboonsin W., Le T.M., Lawongkerd J., Gourgiotis P.A., Rungamornrat J. (2022)

The size dependent response of a multi-layered elastic substrate under surface loading is investigated in the present work. The effect of material microstructure is modeled using the generalized continuum theory of couple ...

On the envelope of some classes of 3 by 3 matrices

Aretaki A., Chorianopoulos C. (2022)

The envelope of a square complex matrix is a closed and bounded subset of the numerical range which contains the spectrum. We study the envelope of special classes of 3×3 matrices such as the nilpotent and the unitarily ...