Minimal Gerschgorin sets for partitioned matrices. II: The spectral conjecture.
Minimal Gerschgorin sets for partitioned matrices. III: Sharpness of boundaries and monotonicity as a function of the partition.
Minimal projections onto spaces of symmetric matrices.
Minimal sets of vectors which generate with excess
Minimization of constrained quadratic forms in Hilbert spaces.
Minimizing and maximizing a linear objective function under a fuzzy relational equation and an inequality constraint
This paper provides an extension of results connected with the problem of the optimization of a linear objective function subject to fuzzy relational equations and an inequality constraint, where is an operation. This research is important because the knowledge and the algorithms presented in the paper can be used in various optimization processes. Previous articles describe an important problem of minimizing a linear objective function under a fuzzy relational equation and an inequality constraint,...
Minimizing maximum lateness in two-stage projects by tropical optimization
We are considering a two-stage optimal scheduling problem, which involves two similar projects with the same starting times for workers and the same deadlines for tasks. It is required that the starting times for workers and deadlines for tasks should be optimal for the first-stage project and, under this condition, also for the second-stage project. Optimality is measured with respect to the maximal lateness (or maximal delay) of tasks, which has to be minimized. We represent this problem as a...
Minimum rank of a tree over an arbitrary field.
Minimum rank of edge subdivisions of graphs.
Minimum rank of matrices described by a graph or pattern over the rational, real and complex numbers.
Minimum semidefinite rank of outerplanar graphs and the tree cover number.
Miscellaneous results and conjuctures on the ring of commuting matrices.
Mittelwertstrukturen.
Mixed-type reverse order law and its equivalents
We present new results related to various equivalents of the mixed-type reverse order law for the Moore-Penrose inverse for operators on Hilbert spaces. Recent finite-dimensional results of Tian are extended to Hilbert space operators.
Modelling the Spread of Infectious Diseases in Complex Metapopulations
Two main approaches have been considered for modelling the dynamics of the SIS model on complex metapopulations, i.e, networks of populations connected by migratory flows whose configurations are described in terms of the connectivity distribution of nodes (patches) and the conditional probabilities of connections among classes of nodes sharing the same degree. In the first approach migration and transmission/recovery process alternate sequentially,...
Moderate deviations for the spectral measure of certain random matrices
Moderate deviations for traces of words in a mult-matrix model.
Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices.
Modification of the - factorization method for multiparameter polynomial matrices and their properties.
Modifying the tropical version of Stickel's key exchange protocol
A tropical version of Stickel's key exchange protocol was suggested by Grigoriev and Shpilrain (2014) and successfully attacked by Kotov and Ushakov (2018). We suggest some modifications of this scheme that use commuting matrices in tropical algebra and discuss some possibilities of attacks on these new modifications. We suggest some simple heuristic attacks on one of our new protocols, and then we generalize the Kotov and Ushakov attack on tropical Stickel's protocol and discuss the application...