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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

Stephen J. Kirkland, Neumann, Michael, Bryan L. Shader (1998)

Czechoslovak Mathematical Journal

In a recent paper the authors proposed a lower bound on $1 - λ_{i}$ , where $λ_{i}$ , $λ_{i} \neq 1$ , is an eigenvalue of a transition matrix $T$ of an ergodic Markov chain. The bound, which involved the group inverse of $I - T$ , 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 class of positive semidefinite biquadratic forms. (Sur une classe de formes biquadratiques semi-définies positives.)

El Kadiri, Mohamed (2011)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On a classic example in the nonnegative inverse eigenvalue problem.

Laffey, Thomas J., Šmigoc, Helena (2008)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On a Companion Operator for Analytic Functions.

G.W. Stewart (1971/1972)

Numerische Mathematik

On a conjecture regarding characteristic polynomial of a matrix pair.

da Fonseca, C.M. (2005)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On a criterion of D-stability for P-matrices

Olga Y. Kushel (2016)

Special Matrices

In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.

On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices

Ian D. Morris, Nikita Sidorov (2013)

Journal of the European Mathematical Society

The joint spectral radius of a finite set of real $d \times d$ matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions from that paper...

On a generalization of de Rham lemma

Kyoji Saito (1976)

Annales de l'institut Fourier

Let $M$ be a free module over a noetherian ring. For $ω_{1}, ..., ω_{k} \in M$ , let $𝒜$ be the ideal generated by coefficients of $ω_{1} \land ... \land ω_{k}$ . For an element $ω \in ⋀^{p} M$ with $p < prof . 𝒜$ , if $ω \land ω_{1} \land ... \land ω_{k} = 0$ , there exists $η_{1}, ..., η_{k} \in ⋀^{p - 1} M$ such that $ω = \sum_{i = 1}^{k} η_{i} \land ω_{i}$ .This is a generalization of a lemma on the division of forms due to de Rham (Comment. Math. Helv., 28 (1954)) and has some applications to the study of singularities.

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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

On a bound on algebraic connectivity: the case of equality

On a class of positive semidefinite biquadratic forms. (Sur une classe de formes biquadratiques semi-définies positives.)

On a classic example in the nonnegative inverse eigenvalue problem.

On a Companion Operator for Analytic Functions.

On a conjecture regarding characteristic polynomial of a matrix pair.

On a criterion of D-stability for P-matrices

On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices

On a generalization of de Rham lemma

On a generalization of the Narayana triangle.

On a generalization of the Van Der Waerden conjecture

On a Generalized Linear Boundary Value Problem

On a geometric property of positive definite matrices cone.

On a group of mixed-type reverse-order laws for generalized inverses of a triple matrix product with applications.

On a mean value theorem in the class of Herglotz functions and its applications.

Currently displaying 1 – 20 of 368