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Tytuł:
Sensitivity analysis in piecewise linear fractional programming problem with non-degenerate optimal solution
Autorzy:
Kheirfam, B.
Powiązania:
https://bibliotekanauki.pl/articles/255257.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
piecewise linear fractional programming
fractional programming
piecewise linear programming
sensitivity analysis
Opis:
In this paper, we study how changes in the coefficients of objective function and the right-hand-side vector of constraints of the piecewise linear fractional programming problems affect the non-degenerate optimal solution. We consider separate cases when changes occur in different parts of the problem and derive bounds for each perturbation, while the optimal solution is invariant. We explain that this analysis is a generalization of the sensitivity analysis for LP, LFP and PLP. Finally, the results are described by some numerical examples.
Źródło:
Opuscula Mathematica; 2009, 29, 3; 253-269
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components
Autorzy:
Gil’, Michael
Powiązania:
https://bibliotekanauki.pl/articles/29519485.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
linear operators
eigenvalues
Opis:
Let $ A $ be a bounded linear operator in a complex separable Hilbert space, $ A^∗ $ be its adjoint one and $ A_I := (A − A^∗)//(2i) $. Assuming that $A_I $ is a Hilbert-Schmidt operator, we investigate perturbations of the imaginary parts of the eigenvalues of $ A $. Our results are formulated in terms of the “extended” eigenvalue sets in the sense introduced by T. Kato. Besides, we refine the classical Weyl inequality $ \Sigma_{k=1}^\infty (Im \lambda_k (A))^2 ≤ N_2^2 (A_I) $, where $ λk(A) (k = 1, 2, . . .) $ are the eigenvalues of $ A $ and $ N_2(·) $ is the Hilbert-Schmidt norm. In addition, we discuss applications of our results to the Jacobi operators.
Źródło:
Opuscula Mathematica; 2024, 44, 2; 241-248
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Instability and the formation of bubbles and the plugs in fluidized beds
Autorzy:
Schulz, P.
Powiązania:
https://bibliotekanauki.pl/articles/2050193.pdf
Data publikacji:
2004
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
multiphase flow
bubbling
linear and non linear instability
dispersion relation
periodic plugs (or slugs)
Opis:
This is an review paper, particulary concentrate on results not many researches by reason that are explain in the text. We consider stability of disperse, two-phase flow (gas-solid particles or liquid-solid particles) linear and non-linear. In particular we discuss the result of Anderson, Sundareson and Jackson (1995) [3] that for vertical dispersion flow one- and two-dimensional, they attack problem growing disturbances directly by numerical integration of equations of motion from given initial conditions (using computer Cray C-90). In principle, this would allow authors to explore all aspects of dynamical behaviour of fluidized beds. It is interesting mechanism of periodic plug describing by Anderson et al. and attest by other researchers. Second part of paper is more general, dedicate the problem of linear stability of uniformly fluidized state ("fluidized bed"). We make the most important stages of calculations (after to Jackson (2000) [23]) and demonstrate that the majority (but not all) of fluidized beds with parameters having technical importance is unstable, or stable in narrow interval of wave numbers k.
Źródło:
Opuscula Mathematica; 2004, 24, 1; 133-159
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Postoptimal analysis in the coefficients matrix of piecewise linear fractional programming problems with non-degenerate optimal solution
Autorzy:
Kheirfam, B.
Powiązania:
https://bibliotekanauki.pl/articles/255497.pdf
Data publikacji:
2010
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
piecewise linear fractional programming
degeneracy
optimal basis
fractional programming
piecewise linear programming
sensitivity analysis
Opis:
In this paper, we discuss how changes in the coefficients matrix of piecewise linear fractional programming problems affect the non-degenerate optimal solution. We consider separate cases when changes occur in the coefficients of the basic and non-basic variables and derive bounds for each perturbation, while the optimal solution is invariant. We explain that this analysis is a generalization of the sensitivity analysis for LP, LFP and PLP. Finally, the results are described by some numerical examples.
Źródło:
Opuscula Mathematica; 2010, 30, 3; 281-294
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels
Autorzy:
Castro, L. P.
Saitoh, S.
Tuan, N. M.
Powiązania:
https://bibliotekanauki.pl/articles/256011.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
linear transform
reproducing kernel
linear mapping
convolution
norm inequality
integral equation
Tikhonov regularization
Opis:
This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications. Consequent properties are exposed (including, in particular, associated norm inequalities).
Źródło:
Opuscula Mathematica; 2012, 32, 4; 633-646
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ideals with linear quotients in Segre products
Autorzy:
Failla, G.
Powiązania:
https://bibliotekanauki.pl/articles/255721.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
monomial algebras
graded ideals
linear resolutions
Opis:
We establish that the Segre product between a polynomial ring on a field K in m variables and the second squarefree Veronese subalgebra of a polynomial ring on K in n variables has the intersection degree equal to three. We describe a class of monomial ideals of the Segre product with linear quotients.
Źródło:
Opuscula Mathematica; 2017, 37, 6; 829-837
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the twisted Dorfman-Courant like brackets
Autorzy:
Mikulski, Włodzimierz M.
Powiązania:
https://bibliotekanauki.pl/articles/1397340.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
natural operator
linear vector field
linear form
(twisted) Dorfman-Courant bracket
Jacobi identity in Leibniz form
Opis:
There are completely described all [formula]-gauge-natural operators C which, like to the Dorfman-Courant bracket, send closed linear 3-forms [formula]on a smooth (C ∞) vector bundle E into R-bilinear operators [formula] transforming pairs of linear sections of [formula] into linear sections of [formula]. Then all such C which also, like to the twisted Dorfman-Courant bracket, satisfy both some “restricted” condition and the Jacobi identity in Leibniz form are extracted.
Źródło:
Opuscula Mathematica; 2020, 40, 6; 703-723
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the gauge-natural operators similar to the twisted Dorfman-Courant bracket
Autorzy:
Mikulski, Włodzimierz M.
Powiązania:
https://bibliotekanauki.pl/articles/2050976.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
natural operator
linear vector field
linear form
twisted Dorfman-Courant bracket
the Jacobi identity in Leibniz form
Opis:
All $\mathcal{VB}_{m,n}$-gauge-natural operators $C$ sending linear 3-forms $H \in \Gamma_{E}^{l}(\wedge^{3}T*E)$ on a smooth $\mathcal{C}^{\infty}$ vector bundle $E$ into $\mathbf{R}$-bilinear operators $$C_{H} : \Gamma_{E}^{l}(TE \oplus T* E) \times \Gamma_{E}^{l}(TE \oplus T* E) \rightarrow \Gamma_{E}^{l} (TE \oplus T* E)$$ transforming pairs of linear sections of $(TE \oplus T* E) \rightarrow E$ into linear sections of $(TE \oplus T* E) \rightarrow E$ are completely described. The complete descriptions is given of all generalized twisted Dorfman-Courant brackets C (i.e. C as above such that $C_{0}$ is the Dorfman-Courant bracket) satisfying the Jacobi identity for closed linear 3-forms $H$ . An interesting natural characterization of the (usual) twisted Dorfman-Courant bracket is presented.
Źródło:
Opuscula Mathematica; 2021, 41, 2; 205-226
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nontrivial solutions of linear functional equations: methods and examples
Autorzy:
Varga, A.
Vincze, C.
Powiązania:
https://bibliotekanauki.pl/articles/255015.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear functional equations
spectral analysis
field homomorphisms
Opis:
For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters. As a continuation of the previous work [A. Varga, Cs. Vincze, G. Kiss, Algebraic methods for the solution of linear functional equations, Acta Math. Hungar.] we are going to present constructive algebraic methods of the solution in some special cases. Explicit examples will be also given.
Źródło:
Opuscula Mathematica; 2015, 35, 6; 957-972
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Initial data generating bounded solutions of linear discrete equations
Autorzy:
Bastinec, J.
Diblik, J.
Ruzickova, M.
Powiązania:
https://bibliotekanauki.pl/articles/255873.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear discrete equation
bounded solutions
initial data
Opis:
A lot of papers are devoted to the investigation of the problem of prescribed behavior of solutions of discrete equations and in numerous results sufficient conditions for existence of at least one solution of discrete equations having prescribed asymptotic behavior are indicated. Not so much attention has been paid to the problem of determining corresponding initial data generating such solutions. We fill this gap for the case of linear equations in this paper. The initial data mentioned are constructed with use of two convergent monotone sequences. An illustrative example is considered, too.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 395-406
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New efficient time integrators for non-linear parabolic problems
Autorzy:
Bujanda, B.
Jorge, J. C.
Powiązania:
https://bibliotekanauki.pl/articles/255918.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fractional step methods
non-linear parabolic problems
convergence
Opis:
In this work a new numerical method is constructed for time-integrating multidimensional parabolic semilinear problems in a very efficient way. The method reaches the fourth order in time and it can be combined with standard spatial discretizations of any order to obtain unconditionally convergent numerical algorithms. The main theoretical results which guarantee this property are explained here, as well as the method characteristics which guarantee a very strong reduction of computational cost in comparison with classical discretization methods.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 407-419
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory results for second-order noncanonical delay differential equations
Autorzy:
Dzurina, Jozef
Jadlovska, Irena
Stavroulakis, Ioannis P.
Powiązania:
https://bibliotekanauki.pl/articles/255407.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linear differential equation
delay
second-order
noncanonical
oscillation
Opis:
The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.
Źródło:
Opuscula Mathematica; 2019, 39, 4; 483-495
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations
Autorzy:
Naito, Manabu
Powiązania:
https://bibliotekanauki.pl/articles/29519260.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
asymptotic behavior
nonoscillatory solution
half-linear differential equation
Opis:
We consider the half-linear differential equation $ (| x^′ |^α \text{sgn} x^′ )^′ + q(t) |x|^α \text{sgn} x = 0, t ≥ t_0, $ under the condition $ \lim_{\t \to \infty} t^\alpha \int_t^\infty q(s)ds = \frac{\alpha^\alpha}{(\alpha+1)^{\alpha+1}}, $ It is shown that if certain additional conditions are satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as t → ∞.
Źródło:
Opuscula Mathematica; 2023, 43, 2; 221-246
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kneser-type oscillation criteria for second-order half-linear advanced difference equations
Autorzy:
Indrajith, N.
Graef, John R.
Thandapani, E.
Powiązania:
https://bibliotekanauki.pl/articles/2048703.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
second-order difference equations
advanced argument
half-linear
oscillation
Opis:
The authors present Kneser-type oscillation criteria for a class of advanced type second-order difference equations. The results obtained are new and they improve and complement known results in the literature. Two examples are provided to illustrate the importance of the main results.
Źródło:
Opuscula Mathematica; 2022, 42, 1; 55-64
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The use of integral information in the solution of a two-point boundary value problem
Autorzy:
Drwięga, T.
Powiązania:
https://bibliotekanauki.pl/articles/255474.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
boundary value problem
complexity
worst case setting
linear information
Opis:
We study the worst-case ε-complexity of a two-point boundary value problem u″(x) = ƒ(x) u (x), x ∈ [0,T], u(0) = c, u′ (T) = 0, where c,T ∈ R (c ≠ 0, T > 0) and ƒ is a nonnegative function with r (r ≥ 0) continuous bounded derivatives. We prove an upper bound on the complexity for linear information showing that a speed-up by two orders of magnitude can be obtained compared to standard information. We define an algorithm based on integral information and analyze its error, which provides an upper bound on the ε-complexity.
Źródło:
Opuscula Mathematica; 2007, 27, 2; 205-220
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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