Eigen values evaluation is an integral but computation-intensive part for many image and signal processing applications. Modified Gram-Schmidt Orthogonalization (MGSO) is an efficient method for evaluating the Eigen values in face recognition algorithms. MGSO applies normalization of vectors in its iterative orthogonal process and its accuracy depends on the accuracy of normalization. Using sof...

Namyong Kim 155 In this paper, we introduce an escalator (ESC) algorithm based on the least squares (LS) criterion. The proposed algorithm is relatively insensitive to the eigenvalue spread ratio (ESR) of an input signal and has a faster convergence speed than the conventional ESC algorithms. This algorithm exploits the fast adaptation ability of least squares methods and the orthogonalization ...

The basic approach in the microscopic theory of binary metal systems has been developed. The electron-ion model Hamiltonian with nonlocal manyparticle interactions was obtained using the statistical operator averaging for the electron-nuclear model over the localized electron states. The role of orthogonalization and exchange effects on the formation of electron-ion interactions is investigated...

In this paper, we propose another version of the full orthogonalization method (FOM) for the resolution of linear system Ax b = , based on an extended definition of Sturm sequence in the calculation of the determinant of an upper hessenberg matrix in o(n2). We will also give a new version of Givens method based on using a tensor product and matrix addition. This version can be used in parallel ...

We investigate how to use an LU factorization with the classical lsqr routine for solving overdetermined sparse least squares problems. Usually L is much better conditioned than A and iterating with L instead of A results in faster convergence. When a runtime test indicates that L is not sufficiently well-conditioned, a partial orthogonalization of L accelerates the convergence. Numerical exper...

ABSTRACT The rotation of a magnetized accreting neutron star (NS) in binary system is described by its spin period and two angles: inclination α with respect to the orbital momentum magnetic angle χ between moment. Magnetospheric accretion spins NS up adjusts axis, decreasing nearly perfect alignment. Its effect upon more subtle relatively unstudied. In this work, we model evolution rigid spher...