Results 31 to 40 of about 24,633 (240)
Partitioned and Hadamard product matrix inequalities [PDF]
This note is partly expositor). Inequalities relating inversion with, respectively, extraction of principal submatriees and the Hadamard product in the two possible orders are developed in a simple and unified way for positive definite matrices. These inequalities are known, hut we also characterize the cases of equality and strict inequality.
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A Note on Hermite-Hadamard Inequalities for Products of Convex Functions
We obtain some new Hermite-Hadamard type inequalities for products of convex functions. We conclude that the results obtained in this work are the refinements of the present results.
Feixiang Chen
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On the Hadamard product of Hopf monoids
Combinatorial structures which compose and decompose give rise to Hopf monoids in Joyal's category of species. The Hadamard product of two Hopf monoids is another Hopf monoid. We prove two main results regarding freeness of Hadamard products.
Aguiar +7 more
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Matrix Completions, Norms, and Hadamard Products [PDF]
The author obtains a necessary and sufficient condition for \(X_ 0\in S\subset H_ n\) to attain the maximum in the problem \(\max\{\lambda_{\min}(A+X):X\in S\}\), where \(A\in H_ n\) is a fixed matrix, \(H_ n\) is the space of \(n\times n\) Hermitian matrices, and \(S\) is a closed convex set.
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Bulk behaviour of Schur-Hadamard products of symmetric random matrices [PDF]
We develop a general method for establishing the existence of the Limiting Spectral Distributions (LSD) of Schur-Hadamard products of independent symmetric patterned random matrices.
Bose, Arup, Mukherjee, Soumendu Sundar
core
Generalization of a Hadamard type inequality for permanents
This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique used in Carlen, Lieb and Loss (Methods and Applications of Analysis 13 (1) (
Roos, Bero
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Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains
How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao +3 more
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New Hadamard Type Inequalities for Modified h-Convex Functions
In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions.
Daniel Breaz +4 more
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On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture
We refine a technique used in a paper by Schur on real-rooted polynomials. This amounts to an extension of a theorem of Wagner on Hadamard products of Toeplitz matrices. We also apply our results to polynomials for which the Neggers-Stanley Conjecture is
Brändén, Petter
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Geometric means and Hadamard products [PDF]
The authors generalize the geometric mean for positive definite matrices defined by \textit{W. Pusz} and \textit{S. L. Woronowicz} [Rep. Math. Phys. 8, 159--170 (1975; Zbl 0327.46032)] to any number of matrices, obtaining an interesting inequality between Hadamard products of such means and the Hadamard product of original matrices.
Feng, Bao Qi, Tonge, Andrew
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