In this paper a method to check the solvability of a set of linear equations in the (max, min, +) algebra is described. Then, extensions to dynamic (or periodic) systems in the (max, min, +) algebra are provided. Further, some results regarding the uniqueness of solutions in both case...
Imprecise input data lead to considering interval version of the eigenproblem, in which interval eigenvectors of interval matrices in max-min algebra are investigated. Six possible types of an interval eigenvector of an interval matrix are introduced, using various combination of quantifiers in the ...
Max-min problems on the ranks and inertias of the matrix expressions $A-BXCpm(BXC)sp ast$ with applications. Y. Liu and Y. Tian, Max-min problems on the ranks and inertias of the matrix expressions A - BXC ± (BXC)∗ with applications, J. Optim. ... Y Liu,Y Tian - 《Journal...
View License Share Open in MATLAB Online Download Overview Functions Version History Reviews(0) Discussions(0) This function attempts to solve numerous single variable minimization problems simultaneously utilizing a vectorized version of MATLAB's fminbnd. As shown in the figure, this vectorizat...
We establish a one-to-one correspondence between (i) exchangeable sequences of random variables whose finite-dimensional distributions are minimum (or maxi
matrices are helpful in treating computational complexity of the periodicity problems in max-min algebra, with analogous max-algebraic applications in mind [... K Nachtigall - 《Mathematical Methods of Operations Research》 被引量: 40发表: 1997年 Orbits in max–min algebra Properties of orbits in...
K. Cechlarova, Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra,... C.W. Chang, B.S. Shieh, Linear optimization problem constrained by fuzzy max-min relation equations, Information... Y. Chen, X. Liu, L. Zhang, Interval solution to fuzzy...
The computational complexity of optimization problems of the min-max form is natu- rally characterized by P2 , the second level of the polynomial-time hierarchy. We present a number of optimization problems of this form and show that the... KO Ker-I,CL Lin - 《Nonconvex Optimization & Its...
We extend the perturbation theory of Vishik, Ljusternik and Lidskii for eigenvalues of matrices, using methods of min-plus algebra. We show that the asymptotics of the eigenvalues of a perturbed matrix is governed by certain discrete optimisation problems, from which we derive new perturbation ...
Find the absolute maximum and absolute minimum values of f(x)=x^3-3x^2-45x+2 on [-2,6], along with where they occur. 1)the absolute min value is ___ , occurring when x=5 2)the absolute max value is ___, occurring when x=-2 Follow...