Zobrazeno 1 - 10
of 303
pro vyhledávání: '"Sturm's theorem"'
Autor:
Efruz Özlem Mersin
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 17229-17245 (2023)
In the present paper, we study Min matrix $ \mathcal{A}_{min} = \left[a_{min\left(i, j\right)}\right]_{i, j = 1}^n $, where $ a_s $'s are the elements of a real sequence $ \left\lbrace a_s\right\rbrace $. We first obtain a recurrence relation for the
Externí odkaz:
https://doaj.org/article/7f630b85137f4fd9bad795cfd34943cd
Akademický článek
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On the application of Sturm's theorem to analysis of dynamic pull-in for a graphene-based MEMS model
Publikováno v:
Applied and Computational Mechanics, Vol 12, Iss 1, Pp 59-72 (2018)
A novel procedure based on the Sturm’s theorem for real-valued polynomials is developed to predict and identify periodic and non-periodic solutions for a graphene-based MEMS lumped parameter model with general initial conditions. It is demonstrated
Externí odkaz:
https://doaj.org/article/f2c69bcb846443898d3b88b0e76ad7e8
Publikováno v:
Journal of Formalized Reasoning, Vol 11, Iss 1, Pp 19-41 (2018)
This paper presents a formally verified decision procedure for determinining the satisfiability of a system of univariate polynomial relations over the real line. The procedure combines a root counting function, based on Sturm’s theorem, with an in
Externí odkaz:
https://doaj.org/article/bcbf412e899646639ad423271e64b5bf
Publikováno v:
Mathematics, Vol 9, Iss 2, p 167 (2021)
We face the problem to determine whether an algebraic polynomial is nonnegative in an interval the Yau Number Theoretic Conjecture and Yau Geometric Conjecture is proved. In this paper, we propose a new theorem to determine if an algebraic polynomial
Externí odkaz:
https://doaj.org/article/db42ef58541a436b8f5b32bc0eae2e6d
Autor:
Efruz Özlem Mersin, Mustafa Bahşi
Publikováno v:
Volume: 50, Issue: 4 1002-1011
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
One of the popular test matrices for eigenvalue routines is the Frank matrix due to its well-conditioned and poorly conditioned eigenvalues. All the eigenvalues of the Frank matrix are real, positive and different. Sturm Theorem is a very useful tool
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Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 56:72-83
An approximate evaluation of matrix-valued functional integrals generated by the relativistic Hamiltonian is considered. The method of evaluation of functional integrals is based on the expansion in the eigenfunctions of Hamiltonian generating the fu
Akademický článek
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Publikováno v:
Mathematics, Vol 9, Iss 167, p 167 (2021)
Mathematics
Volume 9
Issue 2
Mathematics
Volume 9
Issue 2
We face the problem to determine whether an algebraic polynomial is nonnegative in an interval the Yau Number Theoretic Conjecture and Yau Geometric Conjecture is proved. In this paper, we propose a new theorem to determine if an algebraic polynomial