Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
Open MathematicsThis article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
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Notes on some bounds for the zeros of polynomials
, 2018 We apply some spectral radius and norm inequalities to the Frobenius companion matrix to present a simple proof of Kuniyeda’s bound for the zeros of polynomials. We then use Kuniyeda’s bound to derive a new bound for the zeros of polynomials.
A. E. Abu-Omar
semanticscholar +1 more source
On the spectral norm of a doubly stochastic matrix and level-k circulant matrix
Special MatricesA simple proof using Birkhoff theorem is given for the result that the spectral norm of a doubly stochastic matrix is 1. We also show that the result generalizes the results of İpek, Bozkurt, and Jiang and Zhou on circulant matrices and rr-circulant ...
Jiang Zhao-Lin, Tam Tin-Yau
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On the reverse Young and Heinz inequalities
, 2017 In this paper, we study further improvements of the reverse Young and Heinz inequalities for positive real numbers. We use these modified inequalities to obtain corresponding operator inequalities and matrix inequalities on the Hilbert–Schmidt norm ...
M. Ghaemi +2 more
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SOME INVERSE RESULTS ABOUT MATRIX STABILITY IN TERMS OF MATRIX MEASURE
, 2017 The aim of the present work is for each complex matrix A ∈ C with spectral abscissa S(A) < 0 and for each vector norm ||.|| in C to establish an explicit construction to obtain a matrix measure μ||.|| with μ||.||(A) < 0.
H. Kiskinov, N. Milev, A. Zahariev
semanticscholar +1 more source
Crouzeix's conjecture, compressions of shifts, and classes of nilpotent matrices
Concrete OperatorsThis article studies the level set Crouzeix (LSC) conjecture, which is a weak version of Crouzeix’s conjecture that applies to finite compressions of the shift.
Bickel Kelly +4 more
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[Pseudotumoral peritoneal tuberculosis: about 14 cases]. [PDF]
Pan Afr Med J, 2022 Bouchaib AE +4 more
europepmc +1 more source
Numerical radius inequalities and its applications in estimation of zeros of polynomials
, 2019 We present some upper and lower bounds for the numerical radius of a bounded linear operator defined on complex Hilbert space, which improves on the existing upper and lower bounds. We also present an upper bound for the spectral radius of sum of product
Bag, Santanu +2 more
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Sustainable Mortars for Application in the Cultural Heritage Field. [PDF]
Materials (Basel), 2021 Monaco M +3 more
europepmc +1 more source
The advantages and synergistic effects of Gunnera (Gundelia tournefortii L.) extract and protexin in chicken production. [PDF]
Vet Med Sci, 2021 Gholami-Ahangaran M +3 more
europepmc +1 more source