Bounds for the eigenvalues of a matrix
Mathematical models for determining eigenvalue bounds of matrix
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Mathematical models for determining eigenvalue bounds of matrix
Numerical methods for integrating nonlinear differential equations with parasitic eigenvalues
Monte Carlo method for estimating eigenvalues of elliptical partial differential equations
Schroedinger equation eigenvalues lower bounds, noting relationship between intermediate Hamiltonians method and partitioning technique
Lower bounds to eigenvalues of bounded self adjoint Hamiltonian calculated using partitioning technique
Eigenvalues and eigenvectors of symmetric matrices using FORTRAN 4 subroutines
Exact expressions for rates of change of eigenvalues and eigenvector to facilitate computerized design of complex structures
Asymptotic solutions of linear difference equations, discussing applications to eigenvalue problems of free oscillations of model galaxies
Upper bounds of eigenvalues of simply-supported rectangular plate using Rayleigh-Ritz method
Generalized Rayleigh quotients for calculating eigenvalues and eigenvectors of large matrices
Triangular decomposition as aid in determining eigenvalues of large-order banded symmetric matrices
Localization of linear integral equation eigenvalues with applications to linear ordinary differential equations
Noniterative homogeneous solutions of integral equations for coupled open channel and coupled eigenvalue scattering
Subroutine ALLMAT for eigenvalues and eigenvectors of general complex nature
Discussing problem of symbolic numeric conversion in solving quantum mechanical eigenvalue problems with FORMAC
Discrete linear vibration systems viscous damping local modifications effect on eigenvalues and vectors, using Weissenburgers procedure in matrix form
Extreme eigenvalues of Toeplitz matrices associated with Laguerre and Jacobi polynomials, using finite difference operators
The authors review some of the properties of the pseudoinverse and oblique pseudoinverse of a linear transformation T from one finite-dimensional inner-product space into another, and then use these properties and a theorem of Milne (1968), which states that the oblique pseudoinverse can be expressed in terms of a weak generalized inverse and two projection operators, in order to compute a mean-axis influence coefficient matrix for the dynamic analysis of an elastic body. Some eigenvalue invariance properties of the mean-axis structural dynamics equations are demonstrated, and on the simple example of a uniform beam, it is shown that the finite frequencies and mode shapes of the mean axis structural system are identical to the nonzero frequencies and mode shapes of the free structure.