Block-Symmetric Bases and Multidimensional Newton Formulas
In this work we develop a construction of block-symmetric invariants for sequences of multidimensional blocks and obtain multidimensional Newton formulas that link three natural systems of bases. The study relies on introducing block power sums as well as complete and elementary block-symmetric poly...
Saved in:
| Date: | 2025 |
|---|---|
| Main Author: | Ясельський, Андрій |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2025
|
| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/339155 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
Institution
Mathematical and computer modelling. Series: Physical and mathematical sciencesSimilar Items
Hybrid algorithm Newton method for solving systems of nonlinear equations with block Jacobi matrix
by: Khimich, O.M., et al.
Published: (2020)
by: Khimich, O.M., et al.
Published: (2020)
Hybrid algorithm Newton method for solving systems of nonlinear equations with block Jacobi matrix
by: O. M. Khimich, et al.
Published: (2020)
by: O. M. Khimich, et al.
Published: (2020)
Morita Equivalent Blocks of Symmetric Groups
by: Sambale, B.
Published: (2018)
by: Sambale, B.
Published: (2018)
Multidimensional Lagrange–Yen-Type Interpolation Via Kotel'nikov–Shannon Sampling Formulas
by: Pogány, T.K.
Published: (2003)
by: Pogány, T.K.
Published: (2003)
A multiplicative convolution on the algebra of block-symmetric analytic functions
by: A. V. Zahorodniuk, et al.
Published: (2017)
by: A. V. Zahorodniuk, et al.
Published: (2017)
Is classical mechanics based on Newton’s Laws or Eulers analytical equations?
by: Iro, H.
Published: (2005)
by: Iro, H.
Published: (2005)
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
by: Hallnäs, M.
Published: (2007)
by: Hallnäs, M.
Published: (2007)
Multidimensional Lagrange–Yen-Type Interpolation Via Kotel'nikov–Shannon Sampling Formulas
by: Pogány, T. K., et al.
Published: (2003)
by: Pogány, T. K., et al.
Published: (2003)
Optimization of Advanced Algorithms for Symmetric Block Transform Performance and Resistance Criterias
by: Ye. Lysytskyi
Published: (2017)
by: Ye. Lysytskyi
Published: (2017)
On one generalization of the Newton-Kantorovich method
by: Kravchuk, T. S., et al.
Published: (1970)
by: Kravchuk, T. S., et al.
Published: (1970)
Integral Newton-Type Polynomials with Continual Nodes
by: Kashpur, O. F., et al.
Published: (2003)
by: Kashpur, O. F., et al.
Published: (2003)
The approximation formula of a symmetric anodic analytical signal in inversion voltammetry with a mercury film electrode
by: V. V. Shelepenko, et al.
Published: (2011)
by: V. V. Shelepenko, et al.
Published: (2011)
On the generalization of the Newton–Kantorovich theorem for nonlinear operator equations
by: Chuiko, S., et al.
Published: (2026)
by: Chuiko, S., et al.
Published: (2026)
Convergence of Newton–Kurchatov method under weak conditions
by: S. M. Shakhno, et al.
Published: (2017)
by: S. M. Shakhno, et al.
Published: (2017)
Newton's Off-Center Circular Orbits and the Magnetic Monopole
by: Bhandari, Dipesh, et al.
Published: (2023)
by: Bhandari, Dipesh, et al.
Published: (2023)
On a realization of Newton’s method on a digital computer
by: Shamansky, V. E., et al.
Published: (1966)
by: Shamansky, V. E., et al.
Published: (1966)
A lightweight Symmetric Block Cipher "Cypress" – Description and the Main Properties
by: Yu. Rodinko
Published: (2017)
by: Yu. Rodinko
Published: (2017)
Search for cyclotron absorptions from magnetars in the quiescence with XMM-Newton
by: Malygin, M.G., et al.
Published: (2011)
by: Malygin, M.G., et al.
Published: (2011)
Newton's method for solving the inverse spectral problem
by: B. M. Podlevskyi, et al.
Published: (2012)
by: B. M. Podlevskyi, et al.
Published: (2012)
A generalization of the Newton-Kantorovich theorem in a Banach space
by: S. M. Chuiko
Published: (2018)
by: S. M. Chuiko
Published: (2018)
On application of iterative Newton-Kantorovich process in approximately-iterative method
by: Ya. P. Vasylenko
Published: (2016)
by: Ya. P. Vasylenko
Published: (2016)
On convergence of accelerated Newton method under the generalized Lipschitz conditions
by: S. M. Shakhno
Published: (2014)
by: S. M. Shakhno
Published: (2014)
Newton method for implicit scheme of numerical integration of gasdynamic equations
by: S. V. Ershov, et al.
Published: (2010)
by: S. V. Ershov, et al.
Published: (2010)
Solving a nonlinear matrix equation by Newton's method
by: S. M. Chuiko, et al.
Published: (2022)
by: S. M. Chuiko, et al.
Published: (2022)
Implementation of Newton linearization in time discretization of initial-boundary value problems
by: O. V. Vovk, et al.
Published: (2013)
by: O. V. Vovk, et al.
Published: (2013)
A generalization of the Newton—Kantorovich method for systems of nonlinear real equations
by: S. M. Chujko
Published: (2020)
by: S. M. Chujko
Published: (2020)
On the approximate solution of nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Bojchuk, et al.
Published: (2020)
by: A. A. Bojchuk, et al.
Published: (2020)
Gauss – Newton – Kurchatov method for solving nonlinear least squares problems
by: S. M. Shakhno
Published: (2017)
by: S. M. Shakhno
Published: (2017)
Study of frozen Newton-like method in a Banach space with dynamics
by: Singh, M. K., et al.
Published: (2022)
by: Singh, M. K., et al.
Published: (2022)
T-Path Formula and Atomic Bases for Cluster Algebras of Type D
by: Gunawan, E., et al.
Published: (2015)
by: Gunawan, E., et al.
Published: (2015)
Study of frozen-type Newton-like method in a Banach space with dynamics
by: M. K. Singh, et al.
Published: (2022)
by: M. K. Singh, et al.
Published: (2022)
Observations of Sy2 galaxy NGC 3281 by XMM-Newton and INTEGRAL satellites
by: Vasylenko, A.A., et al.
Published: (2013)
by: Vasylenko, A.A., et al.
Published: (2013)
Observations of Sy2 galaxy NGC 3281 by XMM-Newton and INTEGRAL satellites
by: A. A. Vasylenko, et al.
Published: (2013)
by: A. A. Vasylenko, et al.
Published: (2013)
On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Boichuk, et al.
Published: (2020)
by: A. A. Boichuk, et al.
Published: (2020)
On multidimensional Ostrowski type inequalities
by: Kovalenko, О. V., et al.
Published: (2020)
by: Kovalenko, О. V., et al.
Published: (2020)
Fading evolutions in multidimensional spaces
by: Pogorui, A. О., et al.
Published: (2010)
by: Pogorui, A. О., et al.
Published: (2010)
On Multidimensional Generalized Diffusion Processes
by: Shevchenko, H. M., et al.
Published: (2003)
by: Shevchenko, H. M., et al.
Published: (2003)
Multidimensional integral-sum inequalities
by: Borisenko, S. D., et al.
Published: (1998)
by: Borisenko, S. D., et al.
Published: (1998)
Method for prediction of space vehicle motion based on the multidimensional differential-Taylor transformations
by: Ju. Rakushev
Published: (2019)
by: Ju. Rakushev
Published: (2019)
Generalization of the Cramer Formula
by: Syavavko, M. S., et al.
Published: (2001)
by: Syavavko, M. S., et al.
Published: (2001)
Similar Items
-
Hybrid algorithm Newton method for solving systems of nonlinear equations with block Jacobi matrix
by: Khimich, O.M., et al.
Published: (2020) -
Hybrid algorithm Newton method for solving systems of nonlinear equations with block Jacobi matrix
by: O. M. Khimich, et al.
Published: (2020) -
Morita Equivalent Blocks of Symmetric Groups
by: Sambale, B.
Published: (2018) -
Multidimensional Lagrange–Yen-Type Interpolation Via Kotel'nikov–Shannon Sampling Formulas
by: Pogány, T.K.
Published: (2003) -
A multiplicative convolution on the algebra of block-symmetric analytic functions
by: A. V. Zahorodniuk, et al.
Published: (2017)