Results 241 to 250 of about 427,912 (276)

Norm Euclidean Quaternionic Orders

Integers, 2012
Abstract.We determine the norm Euclidean orders in a positive definite quaternion algebra ...
Robert W. Fitzgerald
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Norm-Euclidean Cyclic Fields of Prime Degree [PDF]

International Journal of Number Theory, 2012
Let K be a cyclic number field of prime degree ℓ. Heilbronn showed that for a given ℓ there are only finitely many such fields that are norm-Euclidean. In the case of ℓ = 2 all such norm-Euclidean fields have been identified, but for ℓ ≠ 2, little else is known. We give the first upper bounds on the discriminants of such fields when ℓ > 2.
Kevin McGown
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On Euclidean Norm Approximations [PDF]

Pattern Recognition, 2011
9 pages, 1 figure, Pattern ...
Fatih Çeliker, Emre Çelebi
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On a Minimal Complex Norm That Extends the Real Euclidean Norm

Monatshefte Fur Mathematik, 1988
The authors construct a complex norm \(N^*\) that extends the real euclidean norm and prove that it is the smallest complex norm in the following sense: If N is any complex norm in \({\mathbb{C}}^ n\) which coincides with the real euclidean norm \(| \cdot |\) in \({\mathbb{R}}^ n\) and N(z)\(\leq | z|\) for \(z\in {\mathbb{C}}^ n\), then \(N^*(z)\leq N(
Peter Pflug
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A Low Complexity Euclidean Norm Approximation

IEEE Transactions on Signal Processing, 2008
The need for real-time computation of the Euclidean norm of a vector arises frequently in many signal processing applications such as vector median filtering, vector quantization and multiple-input multiple-output wireless communication systems. In this correspondence, we examine the properties of a linear combination of the 1-norm and the infinity ...
Changkyu Seol, Kyungwhoon Cheun
exaly   +3 more sources

A Quasi-Euclidean Norm to Speed Up Vector Median Filtering

IEEE Transactions on Image Processing, 2000
For reducing impulsive noise without degrading image contours, median filtering is a powerful tool. In multiband images, as for example color images or vector fields obtained by optic flow computation, a vector median filter can be used.
F Bartolini, M Barni, V Cappellini
exaly   +2 more sources

Euclidean Norm Minimization of the SOR Operators

SIAM Journal on Matrix Analysis and Applications, 1998
Because the spectral radius is only an asymptotic measure of therate of convergence of a linear iterative method, Golub and dePillis [ Toward an effective two-parameter method, in Iterative Methods for Large Linear Systems, Academic Press, New York, 1990] have raised in a recent paper the question of determining, for each $k\geq 1$, a relaxation ...
Apostolos Hadjidimos, Michael Neumann
openaire   +3 more sources

Normed and Euclidean Spaces

2020
In this chapter we discuss some basic geometric and topological properties of normed and Euclidean spaces, which are the most important types of spaces of functional analysis.
Vladimir I. Bogachev, Oleg G. Smolyanov
openaire   +1 more source

On Euclidean Norm Balancing

PAMM, 2013
AbstractWe recall Euclidean norm balancing of linear time‐invariant control systems and extend it to other classes of systems. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Tobias Damm, Luc N. Muhirwa
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Euclidean-Norm Error Bounds for SYMMLQ and CG

SIAM Journal on Matrix Analysis and Applications, 2019
For positive definite and semidefinite consistent $Ax_\star=b$, we use the Gauss--Radau approach of Golub and Meurant (1997) to obtain an upper bound on the error $\|x_\star-x_k^L\|_2$ for SYMMLQ iterates, assuming exact arithmetic. Such a bound, computable in constant time per iteration, was not previously available.
Ron Estrin, Dominique Orban, Michael A. Saunders   +2 more
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