Results 21 to 30 of about 427,912 (276)
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Comptes Rendus. Mathématique, 2020 We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert.
Di Marino, Simone +2 more
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On the norms and Hadamard product of Toeplitz matrices involving Leonardo numbers [PDF]
Mathematica MoravicaIn this study, we consider the Toeplitz matrices with entries being Leonardo numbers. We have found upper and lower bounds for the spectral norms of these matrices, considering also the Hadamard product of this type of matrix.
Catarino Paula +4 more
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The Pólya-Szegö Principle and the Anisotropic Convex Lorentz-Sobolev Inequality
The Scientific World Journal, 2014 An anisotropic convex Lorentz-Sobolev inequality is established, which extends Ludwig, Xiao, and Zhang’s result to any norm from Euclidean norm, and the geometric analogue of this inequality is given.
Shuai Liu, Binwu He
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International Journal of Mathematics and Mathematical Sciences, 2012 We present a new proof of the Pythagorean theorem which suggests a particular decomposition of the elements of a topological algebra in terms of an “inverse norm” (addressing unital algebraic structure rather than simply vector space structure).
Fred Greensite
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Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers
Abstract and Applied Analysis, 2015 Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed.
Zhaolin Jiang, Yunlan Wei
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Vector Inequalities for Powers of Some Operators in Hilbert Spaces [PDF]
, 2008 Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S
core +6 more sources
Norm Euclidean Quaternionic Orders [PDF]
, 2010 We determine the norm Euclidean orders in a positive definite quaternion algebra over ...
Fitzgerald, Robert W.
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On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
Abstract and Applied Analysis, 2014 Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers.
Zhaolin Jiang, Jinjiang Yao, Fuliang Lu
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An ILUCG algorithm which minimizes in the euclidean norm [PDF]
Journal of Computational Physics, 1979 This paper presents an algorithm which solves sparse systems of linear equations of the form Ax =y, where A is non-symmetric, by the Incomplete LU Decomposition-Conjugate Gradient (ILUCG) method. The algorithm minimizes the error in the Euclidean norm ‖xi − x‖2 , where xi is the solution vector after the ith iteration and x the exact solution vector ...
Petravic, M., Kuo-Petravic, G.
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Hypergraph Convolutional Subspace Clustering With Multihop Aggregation for Hyperspectral Image
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2022 Subspace clustering methods have become a powerful tool to cluster hyperspectral imaging (HSI) data as they ensure theoretical guarantees and empirical success.
Zijia Zhang +5 more
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