Results 31 to 40 of about 203,139 (278)
Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers
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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An ILUCG algorithm which minimizes in the euclidean norm [PDF]
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
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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Learning neural operators on Riemannian manifolds
Learning mappings between functions (operators) defined on complex computational domains is a common theoretical challenge in machine learning. Existing operator learning methods mainly focus on regular computational domains, and have many components ...
Chen Gengxiang +5 more
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In this work, we began to take forward kinematics of the Gough–Stewart (G-S) platform as an unconstrained optimization problem on the Lie group-structured manifold SE(3) instead of simply relaxing its intrinsic orthogonal constraint when algorithms are ...
Binhai Xie, Shuling Dai, Feng Liu
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EXAMPLES OF NORM-EUCLIDEAN IDEAL CLASSES [PDF]
In this paper, we study the notion of norm-Euclidean ideal class, which was defined by Lenstra [Euclidean ideal classes, Astérisque 61 (1979) 121–131]. Using a slight modification of an algorithm determining among other properties the Euclidean minimum described in [P. Lezowski, Computation of the Euclidean minimum of algebraic number fields, preprint
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Expectation Values and Variance Based on Lp-Norms
This analysis introduces a generalization of the basic statistical concepts of expectation values and variance for non-Euclidean metrics induced by Lp-norms.
George Livadiotis
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On the Euclidean Operator Radius and Norm
In this paper, we show several bounds for the numerical radius of a Hilbert space operator in terms of the Euclidean operator norm. The obtained forms will enable us to find interesting refinements of celebrated results in the literature. Then, the $f$-operator radius, recently defined as a generalization of the Euclidean operator radius, will be ...
Sababheh, Mohammad +2 more
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Non-Galois cubic fields which are Euclidean but not norm-Euclidean [PDF]
Weinberger in 1973 has shown that under the Generalized Riemann Hypothesis for Dedekind zeta functions, an algebraic number field with infinite unit group is Euclidean if and only if it is a principal ideal domain. Using a method recently introduced by us, we give two examples of cubic fields which are Euclidean but not norm–Euclidean.
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Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley +5 more
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