On convexity properties of the Bauer field of values of a matrix

1968 ◽  
Vol 12 (2) ◽  
pp. 96-105 ◽  
Author(s):  
Chr Zenger
Keyword(s):  
Field Of Values ◽  
Convexity Properties

scholarly journals On the Convexity Preservation of a Quasi C3 Nonlinear Interpolatory Reconstruction Operator on σ Quasi-Uniform Grids

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 310 ◽  
Author(s):  
Pedro Ortiz ◽  
Juan Carlos Trillo
Keyword(s):  
Initial Data ◽  
Numerical Experiments ◽  
Approximation Order ◽  
Piecewise Polynomial ◽  
Nonuniform Grids ◽  
Uniform Grids ◽  
Reconstruction Operator ◽  
Convexity Properties ◽  
Second Degree

This paper is devoted to introducing a nonlinear reconstruction operator, the piecewise polynomial harmonic (PPH), on nonuniform grids. We define this operator and we study its main properties, such as its reproduction of second-degree polynomials, approximation order, and conditions for convexity preservation. In particular, for σ quasi-uniform grids with σ≤4, we get a quasi C3 reconstruction that maintains the convexity properties of the initial data. We give some numerical experiments regarding the approximation order and the convexity preservation.

Limits for the Field of Values of a Matrix

1945 ◽  
Vol 52 (9) ◽  
pp. 488-493 ◽  
Author(s):  
A. B. Farnell
Keyword(s):  
Field Of Values

scholarly journals Location and shape of a rectangular facility in ℝn. Convexity properties. Convexity properties

1998 ◽  
Vol 83 (1-3) ◽  
pp. 277-290 ◽  
Author(s):  
E. Carrizosa ◽  
M. Muñoz-Márquez ◽  
J. Puerto
Keyword(s):  
Convexity Properties

Kählerian potentials and convexity properties of the moment map

1996 ◽  
Vol 126 (1) ◽  
pp. 65-84 ◽  
Author(s):  
Peter Heinzner ◽  
Alan Huckleberry
Keyword(s):  
Moment Map ◽  
Convexity Properties ◽  
The Moment

Speech Influence Mechanisms and Models in Polycode and Polymodal Text (Using the Example of Regional Television Sports Coverage)

2021 ◽  
Vol 10 (1) ◽  
pp. 72-76
Author(s):  
Elina Nikitina
Keyword(s):  
Information Sharing ◽  
New Knowledge ◽  
Field Of Values ◽  
Sports Coverage ◽  
Points Of View

This article analyzes speech influence mechanisms and models in polycode and polymodal text. As an example, we took a sports coverages aired on regional television, since it is a polycode and polymodal composing. The publication presents speech influence mechanisms and models proposed by various researchers. Taking into consideration various points of view it can be assumed that speech influence in television sports coverage occurs through the information sharing on two levels proposed by A.A. Leontiev. This process is carried out either by introducing new knowledge about reality into the field of values of the recipient, on the basis of which he will change his behavior or his attitude to this reality, or by changing the field of values of the recipient without introducing new elements.

New Parameterizations of \(\mathrm{SL}(2,\mathbb{R})\) and Some Explicit Formulas for Its Logarithm

2021 ◽  
Vol 60 ◽  
pp. 65-81
Author(s):  
Tihomir Valchev ◽  
◽  
Clementina Mladenova ◽  
Ivaïlo Mladenov
Keyword(s):  
Lie Groups ◽  
Analytic Description ◽  
Exponential Map ◽  
Explicit Formulas ◽  
Field Of Values

Here we demonstrate some of the benefits of a novel parameterization of the Lie groups $\mathrm{Sp}(2,\bbr)\cong\mathrm{SL}(2,\bbr)$. Relying on the properties of the exponential map $\mathfrak{sl}(2,\bbr)\to\mathrm{SL}(2,\bbr)$, we have found a few explicit formulas for the logarithm of the matrices in these groups.\\ Additionally, the explicit analytic description of the ellipse representing their field of values is derived and this allows a direct graphical identification of various types.

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