We have in
this research study of the forces that allow the iterative
approximation calculation method of eigenvalue as well as the
eigenvector associated with it. Also studied the way the reverse
repetitive forces that also allow to get closer t
o a eigenvector has
intrinsic value known approximate. It has also been described QR
method which allows calculation of all eigenvalues in an effective
manner, then we have created an algorithm for this method.
Our aim of this paper is studying the problem on normal oscillations of system of capillary viscous fluids in vessel.
We prove results about the spectrum of the problem for rotating vessel and prove that the systems of root elements ( eigenelements
and associated elements ) form an Abel-Lidsky basis.
Also , we use some results from the theory of J-self adjoint operators in studying the spectrum of the problem for non-rotating vessel.
This paper is concerned with the calculation of the spectral radius of an
arbitrary real matrix A
If rank A = m = 2 then (١) and (٢) are equalities.
In addition, we provide the numerical radius r(A) of an n×n matrix whose
diagonal entries are complex numbers.
