Zobrazeno 1 - 10
of 21
pro vyhledávání: '"B. M. Podlevs'kyi"'
Autor:
O. S. Yaroshko, B. M. Podlevs’kyi
Publikováno v:
Journal of Mathematical Sciences. 194:156-165
We consider matrix inverse eigenvalue problems. For their numerical solution, we propose an algorithm based on Newton’s iterative process, where, for constructing the Jacobian, a numerical procedure of calculation of the exact derivatives of a matr
Autor:
B. M. Podlevs’kyi
Publikováno v:
Journal of Mathematical Sciences. 171:433-452
We consider iterative algorithms of finding the curves of eigenvalues and their bifurcation points of a nonlinear algebraic two-parameter spectral problem, which appears in the solution of the problem of synthesis of plane antenna arrays by a given a
Autor:
B. M. Podlevs’kyi, V. V. Khlobystov
Publikováno v:
Journal of Mathematical Sciences. 167:96-106
We consider an iteration algorithm for calculating eigenvalue curves of the linear algebraic twoparameter spectral problem, which uses an algorithm for calculating all eigenvalues in a given domain of variation in spectral parameters based on an effi
Autor:
B. M. Podlevs’kyi
Publikováno v:
Journal of Mathematical Sciences. 165:214-220
We consider an iteration algorithm for determining the eigenvalues of an algebraic two-parameter spectral problem with the use of Newton’s method and a new efficient numerical procedure for calculation of the derivative of a determinant. Numerical
Autor:
B. M. Podlevs’kyi
Publikováno v:
Ukrainian Mathematical Journal. 61:1475-1486
We associate a multiparameter spectral problem in a real Euclidean space with a variational problem of finding a minimum of a certain functional. We establish the equivalence of the spectralproblem and the variational problem. On the basis of the gra
Autor:
B. M. Podlevs’kyi
Publikováno v:
Journal of Mathematical Sciences. 160:357-367
The iterative algorithm for determination of bilateral (alternating) approximations to the eigenvalues of nonlinear spectral problems that uses a bilateral analog of the Newton method and a new efficient numerical procedure for calculation of the New
Autor:
B. M. Podlevs'kyi
Publikováno v:
Ukrainian Mathematical Journal. 55:1472-1479
We propose a method for the factorization of algebraic polynomials with real or complex coefficients and construct a numerical algorithm, which, along with the factorization of a polynomial with multiple roots, solves the problem of the determination
Autor:
Podlevs’kyi, B.1
Publikováno v:
Journal of Mathematical Sciences. Jul2009, Vol. 160 Issue 3, p357-367. 11p. 2 Diagrams, 2 Charts.
Autor:
Podlevs'kyi, B.1
Publikováno v:
Journal of Mathematical Sciences. Dec2010, Vol. 171 Issue 4, p433-452. 20p. 1 Chart, 3 Graphs.
Autor:
Podlevs'kyi, B. M.1, Khlobystov, V. V.2
Publikováno v:
Journal of Mathematical Sciences. May2010, Vol. 167 Issue 1, p96-106. 11p. 4 Graphs.