Results 1 to 10 of about 191,170 (252)
Algebraic systems of matrices and Gröbner basis theory
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Bourgeois
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From su(2) Gaudin Models to Integrable Tops [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) su(2) Gaudin models.
Matteo Petrera, Orlando Ragnisco
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Algebraic properties of Manin matrices II: q-analogues and integrable systems [PDF]
Advances in Applied Mathematics, 2012 We study a natural q-analogue of a class of matrices with noncommutative entries, which were first considered by Yu. I. Manin in 1988 in relation with quantum group theory, (called Manin Matrices in [5]) .
Chervov, A. +3 more
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Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra [PDF]
Quantum, 2022 Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse.
Quynh T. Nguyen +2 more
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On equivalence of algebraic and finite element formulations of prestressed bar structures [PDF]
Scientific ReportsThe equivalence of the finite element method and the algebraic formulation of the equations of moderately thick and thin elastic frames, beams, trusses, and grillages within the Timoshenko and Euler-Bernoullie theory derived earlier by Pełczyński ...
Jan Pełczyński
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Explicit preconditioning of systems of linear algebraic equations with dense matrices
Journal of Soviet Mathematics, 1988 For linear systems of equations \(Ax=b\) with full nonsymmetric nondiagonal dominant matrix of great order an explicit preconditioning G for the best convergence of an iterative method, in this case ORTHOMIN(k), is suggested. The structure of the preconditioning matrix G depends on the module of the elements of the matrix A. Three types of the strategy
L. Y. Kolotilina
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Performance Analysis of Effective Symbolic Methods for Solving Band Matrix SLAEs [PDF]
EPJ Web of Conferences, 2019 This paper presents an experimental performance study of implementations of three symbolic algorithms for solving band matrix systems of linear algebraic equations with heptadiagonal, pentadiagonal, and tridiagonal coefficient matrices.
Veneva Milena, Ayriyan Alexander
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Solving parametric systems of polynomial equations over the reals through Hermite matrices [PDF]
Journal of symbolic computation, 2020 We design a new algorithm for solving parametric systems of equations having finitely many complex solutions for generic values of the parameters. More precisely, let $\mathbf{f} = (f_1, \ldots, f_m)\subset \mathbb{Q}[\mathbf{y}][\mathbf{x}]$ with ...
H. P. Le, M. S. E. Din
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Nuclear Physics B, 2021 In the present paper we develop the algebraic Bethe ansatz approach to the case of non-skew-symmetric gl(2)⊗gl(2)-valued Cartan-non-invariant classical r-matrices with spectral parameters. We consider the two families of these r-matrices, namely, the two
T. Skrypnyk, N. Manojlović
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Axioms, 2023 Chebyshev Wavelets of the third kind are proposed in this study to solve nonlinear systems of FDEs. The main goal of the method is to convert the nonlinear FDE into a nonlinear system of algebraic equations that can be easily solved using matrix methods.
Sadiye Nergis Tural Polat +1 more
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