Zobrazeno 1 - 7
of 7
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a1188a581123770ef094e1caea3e016
https://doi.org/10.1007/s10958-013-1516-1
https://doi.org/10.1007/s10958-013-1516-1
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a6a8c7aedc0702dc603763e7fbd4f06
https://doi.org/10.1007/s10958-010-0148-y
https://doi.org/10.1007/s10958-010-0148-y
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68dbd3e80fa93f243321990d75a80caf
https://doi.org/10.1007/s10958-010-9905-1
https://doi.org/10.1007/s10958-010-9905-1
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fc8a8425f957241b686c72bd24aa2e3
https://doi.org/10.1007/s10958-010-9791-6
https://doi.org/10.1007/s10958-010-9791-6
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81ee0d01308cc1a701bd086b256f4893
https://doi.org/10.1007/s11253-010-0290-1
https://doi.org/10.1007/s11253-010-0290-1
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d0aec50fea60f7cf9c76b137ed90ab1
https://doi.org/10.1007/s10958-009-9503-2
https://doi.org/10.1007/s10958-009-9503-2
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd8620ea484d327e9a3f749df2008e38
https://doi.org/10.1023/b:ukma.0000018008.76465.3e
https://doi.org/10.1023/b:ukma.0000018008.76465.3e