Search Results - "Ćurgus, Branko"

Operators without eigenvalues in finite-dimensional vector spaces: Essential uniqueness of the model by Ćurgus, Branko, Dijksma, Aad

“…In [4] a model is presented of a finite-dimensional Pontryagin space with a symmetric operator without eigenvalues. In this note we show that this model is…”
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Indefinite Sturm–Liouville Operators in Polar Form by Ćurgus, Branko, Derkach, Volodymyr, Trunk, Carsten

“…We consider the indefinite Sturm–Liouville differential expression a ( f ) : = - 1 w 1 r f ′ ′ , where a is defined on a finite or infinite open interval I…”
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The Riesz Basis Property of an Indefinite Sturm–Liouville Problem with Non-Separated Boundary Conditions by Ćurgus, Branko, Fleige, Andreas, Kostenko, Aleksey

“…We consider a regular indefinite Sturm–Liouville eigenvalue problem − f ′′ + q f = λ r f on [ a , b ] subject to general self-adjoint boundary conditions and…”
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A Generalization of Routh’s Triangle Theorem by Árpád Bényi, Branko Ćurgus

“…We prove a generalization of the well-known Routh’s triangle theorem. As a consequence, we get a unification of the theorems of Ceva and Menelaus. A connection…”
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Somewhat Stochastic Matrices by Curgus, Branko, Jewett, Robert I

“…The standard theorem for stochastic matrices with positive entries is generalized to matrices with no sign restriction on the entries. The condition that…”
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Partially Fundamentally Reducible Operators in Kreĭn Spaces by Ćurgus, Branko, Derkach, Vladimir

“…A self-adjoint operator A in a Kreĭn space ( K , [ · , · ] ) is called partially fundamentally reducible if there exist a fundamental decomposition K = K + [ +…”
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Triangles and groups via cevians by Bényi, Árpád, Ćurgus, Branko

“…For a given triangle T and a real number ρ we define Ceva’s triangle to be the triangle formed by three cevians each joining a vertex of T to the point which…”
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Stability of Roots of Polynomials Under Linear Combinations of Derivatives by Ćurgus, Branko, Mascioni, Vania

“…Let T = α 0 I + α 1 D + ⋅⋅⋅ + α n D n , where D is the differentiation operator and , and let f be a square-free polynomial with large minimum root separation…”
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Riesz Bases of Root Vectors of Indefinite Sturm-Liouville Problems with Eigenparameter Dependent Boundary Conditions. II by Binding, Paul, Ćurgus, Branko

“… We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions affinely dependent on the eigenparameter. We give…”
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A contraction of the Lucas polygon by CURGUS, Branko, MASCIONI, Vania

“…The celebrated Gauss-Lucas theorem states that all the roots of the derivative of a complex non-constant polynomial p lie in the convex hull of the roots of p,…”
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An Exceptional Exponential Function by Curgus, Branko

“…We show that there is a link between a standard calculus problem of finding the best view of a painting and special tangent lines to the graphs of exponential…”
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On a convex operator for finite sets by CURGUS, Branko, KOŁODZIEJCZYK, Krzysztof

“…Let S be a finite set with m elements in a real linear space and let J S be a set of m intervals in R . We introduce a convex operator co ( S , J S ) which…”
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An unexpected limit of expected values by Ćurgus, Branko, Jewett, Robert I.

“…Let t ⩾ 0 . Select numbers randomly from the interval [ 0 , 1 ] until the sum is greater than t. Let α ( t ) be the expected number of selections. We prove…”
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An Exceptional Exponential Function by Ćurgus, Branko

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On the location of critical points of polynomials by CURGUS, Branko, MASCIONI, Vania

“…Given a polynomial p of degree n \geq 2 and with at least two distinct roots let Z(p) = \{z : p(z) = 0\}. For a fixed root \alpha \in Z(p) we define the…”
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The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces by Ćurgus, Branko, Dijksma, Aad, Read, Tom

“…The boundary eigenvalue problems for the adjoint of a symmetric relation S in a Hilbert space with finite, not necessarily equal, defect numbers, which are…”
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Indefinite Sturm-Liouville operators in polar form by Ćurgus, Branko, Derkach, Volodymyr, Trunk, Carsten

“…We consider the indefinite Sturm-Liouville differential expression \[\mathfrak{a}(f) := - \frac{1}{w}\left( \frac{1}{r} f' \right)',\] where $\mathfrak{a}$ is…”
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Roots and polynomials as Homeomorphic spaces by Ćurgus, Branko, Mascioni, Vania

“…We provide a unified, elementary, topological approach to the classical results stating the continuity of the complex roots of a polynomial with respect to its…”
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A Squeeze for Two Common Sequences That Converge toe by Branko Curgus

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A Squeeze for Two Common Sequences That Converge to e by Curgus, Branko

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