Results 21 to 30 of about 38,162 (310)
Algebraic Solution of Tropical Polynomial Optimization Problems
We consider constrained optimization problems defined in the tropical algebra setting on a linearly ordered, algebraically complete (radicable) idempotent semifield (a semiring with idempotent addition and invertible multiplication).
Nikolai Krivulin
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Lamé equations with algebraic solutions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beukers, F., van der Waall, H.A.
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Existence of Solutions for a Nonlinear Algebraic System [PDF]
As well known, the existence and nonexistence of solutions for nonlinear algebraic systems are very important since they can provide the necessary information on limiting behaviors of many dynamic systems, such as the discrete reaction‐diffusion equations, the coupled map lattices, the compartmental systems, the strongly damped lattice systems, the ...
Guang Zhang, Liang Bai
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Families of solutions of algebraic Riccati equations [PDF]
We consider Homogeneous Algebraic Riccati Equations in the general situation when the matrix of the dynamics can be "mixed". We show that in this case the equation may have infinitely many families of solutions. An analysis of these families is carried over and explicit formulas are derived. We also derive sufficient conditions under which the union of
Daniele Alpago, Augusto Ferrante
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Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
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On algebraic solutions of algebraic Pfaff equations [PDF]
The algebraic Pfaff equation (1) \(\sum^{r+ 1}_{i= 1} P_i(x) dx_i= 0\), where the \(P_i(x)\) are homogeneous polynomials of degree \(m\) and \(\sum P_i x_i= 0\), is considered. The form of the Pfaff equation (1) with the property that the given algebraic hypersurfaces \(S_i\), \(i= 1,\dots, p\), are solutions of (1) is described.
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Black-brane solution for C2 algebra [PDF]
Black p-brane solutions for a wide class of intersection rules and Ricci-flat “internal” spaces are considered. They are defined up to moduli functions Hs obeying nonlinear differential equations with certain boundary conditions imposed. A new solution with intersections corresponding to the Lie algebra C2 is obtained.
Grebeniuk M.A. +2 more
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A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +3 more
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Black-brane solution for A3 algebra [PDF]
11 pages, Latex, to appear in Phys.
Grebeniuk M.A. +2 more
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Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]
We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Rapisarda, P. +9 more
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