Nový důkaz poučky o poměrech mezi původními a přidruženými determinanty a subdeterminanty
n-supercyclic and strongly n-supercyclic operators in finite dimensions
We prove that on , there is no n-supercyclic operator with 1 ≤ n < ⌊(N + 1)/2⌋, i.e. if has an n-dimensional subspace whose orbit under is dense in , then n is greater than ⌊(N + 1)/2⌋. Moreover, this value is optimal. We then consider the case of strongly n-supercyclic operators. An operator is strongly n-supercyclic if has an n-dimensional subspace whose orbit under T is dense in , the nth Grassmannian. We prove that strong n-supercyclicity does not occur non-trivially in finite...
Number variance from a probabilistic perspective: infinite systems of independent Brownian motions and symmetric -stable processes.
Numerical application of the mathematical spectra to the problem of eigenvalues of matrices
Numerical computation of an analytic singular value decomposition of a matrix valued function.
Numerical determination of a canonical form of a symplectic matrix.
Numerical Procedure for Solving a Minimization Eigenvalue Problem.
Numerical radius inequalities for 2 × 2 operator matrices
We derive several numerical radius inequalities for 2 × 2 operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.
Numerical ranges of an operator on an indefinite inner product space.
Numerical Solution of Linear Equations with Toeplitz and Vector Toeplitz Matrices.
O definici determinantu
O Hadamardově determinantu
Observer-based deadbeat controllers: A polynomial design
Obtaining bounds on the two norm of a matrix from the splitting lemma.
Odvození základních vzorců sférické trigonometrie pomocí některých pouček determinantních
On 4-dimensional locally conformally flat almost Kähler manifolds
Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kähler manifolds which are locally conformally flat with a metric of a special form.
On a bound on algebraic connectivity: the case of equality
In a recent paper the authors proposed a lower bound on , where , , is an eigenvalue of a transition matrix of an ergodic Markov chain. The bound, which involved the group inverse of , was derived from a more general bound, due to Bauer, Deutsch, and Stoer, on the eigenvalues of a stochastic matrix other than its constant row sum. Here we adapt the bound to give a lower bound on the algebraic connectivity of an undirected graph, but principally consider the case of equality in the bound when...
On a cell decomposition for Hankel matrices and rational functions.
On a class of linear models.
This paper is concerned with classification criteria, asymptotic behaviour and stationarity of a non-Markovian model with linear transition rule, called a linear OM-chain. This problems are solved by making use of the structure of the stochastic matrix appearing in the definition of such a model. The model studied includes as special cases the Markovian model as well as the linear learning model, and has applications in psychological and biological research, in control theory, and in adaptation...
On a class of matrices which arise in the numerical solution of Euler equations.