Frobenius norm
A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
... Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a ...
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A note on the Frobenius conditional number with positive definite matrices
... the Frobenius condition ...the Frobenius condition number of a positive definite matrix depending on its trace, determinant, and Frobenius ...
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Article Description
... image. Similarly embedding the watermark data in high-frequency components results loss of data due to compression. Hence our method ensures robustness. The ICA algorithm adopted in this proposed method has been ...
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Nyström method with Kernel K means++ samples as landmarks
... datasets consists of more than 5 000 instances. Prior to running the experiments, the datasets were standardized to have zero mean and unit variance. We measure the good- ness of a landmark selection strategy with the ...
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Analytic function methods for nonparametric control
... • In Chapter 5, a linear programming nonparametric approach to the design a robust controller in H ∞ mixed sensitivity control scheme using Hadamard H ∞ -Frobenius norm [92, 91] is presented. This approach ...
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Content-Based Watermarking for Image Authentication Using Independent Component Analysis
... The proposed content-based watermarking for blind authentication uses a hybrid of ICA and DCT. The host image is divided into small blocks. ICA is applied to each block and the mixing matrix of the block is determined. ...
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Effective user selection algorithm for quantized precoding in massive MIMO
... and Frobenius norm-based user selction ...the Frobenius norm-based selection algorithms have been proposed which either considers the norm of the channel gain vector[5] or the ...
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Restricted Strong Convexity and Weighted Matrix Completion: Optimal Bounds with Noise
... (in Frobenius norm) for matrix completion based on noisy ...nuclear/Frobenius norm ratio and low ...weighted Frobenius norms, both for exactly and approximately low- rank ...weighted ...
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The distance to strong stability
... Abstract: The notion of “strong stability” has been introduced in a recent paper [KHP2]. This notion is relevant for state-space models described by physical variables and prohibits overshooting trajectories in the ...
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Unitarily invariant norm inequalities for some means
... implied Frobenius norm inequalities (Theorem ...invariant norm inequal- ities which are general results including Frobenius norm inequalities as a special ...
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The Frobenius Anatomy of Relative Pronouns
... the Frobenius approach and our claim that the re- sulting vectors are ‘appropriate’ requires an empir- ical ...uses Frobenius algebras but for a different purpose) are an obvious place to ...
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Primality testing with Frobenius symbols
... In the actual primality tests one does not check that any r dividing n is a power of n, but that this is true for the images of r and n in certain groups: in Galois groups, in (ZZ/sffi) [r] ...
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Special Frobenius Traces in Galois Representations
... the Frobenius elements under these representations carry a wealth of information that can be examined in various ...of Frobenius traces of special nature: (i) those that vanish and (ii) the ones that are ...
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Some new identities of Frobenius Euler numbers and polynomials
... In this paper, we give some new and interesting identities which are derived from the basis of Frobenius-Euler. Recently, several authors have studied some identities of Frobenius-Euler polynomials. From ...
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Uniform Behaviour of the Frobenius closures of ideals generated by regular sequences
... characteristic, Frobenius homomorphism, Frobenius closure, tight closure, (weak) test element, Artinian module, skew polynomial ring, regular sequence, local cohomology ...
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The Ruelle operator, zeta functions and the asymptotic distribution of closed orbits
... It is the purpose of this paper to present a general isation of this theorem to describe the spectrum of for complex functions of exponentially decreasing variation (Theorem 2 ) . This subsumes a complex version of the ...
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Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings
... of Frobenius closures of the type established in this paper is both desirable for its own sake and also relevant to the vigorous and ongoing development of tight closure ...
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Exponent matrices and Frobenius rings
... perfect ring A is called principal right module.. Every relatively injective irreducible A -lattice Q has only. one minimal overmodule.. n) and the adjacency matrix[r] ...
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Graded Frobenius cluster categories
... Since the shift functor on E does not typically lift to an automorphism of E, and projective- injective objects of E may have non-zero degrees, we have no natural analogue of Proposition 2.6(v) in the Frobenius ...
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On blocks with frobenius inertial quotient
... In [23] Okuyama and Tsushima showed that the center ZkGb of the block algebra kGb is a symmetric algebra if and only if b has abelian defect groups and trivial inertial quotient, in othe[r] ...
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