scholarly journals On the multiple Nevanlinna-Pick matrix interpolation in the class Cp and the Carathéodory matrix coefficient problem

1998 ◽  
Vol 283 (1-3) ◽  
pp. 179-203 ◽  
Author(s):  
Gong-ning Chen ◽  
Yong-jian Hu
Keyword(s):  
Matrix Coefficient ◽  
Coefficient Problem ◽  
Matrix Interpolation ◽  
Pick Matrix

Solution of inverse coefficient problem for fractional anomalous diffusion equation

2012 ◽  
Vol 9 (2) ◽  
pp. 65-70
Author(s):  
E.V. Karachurina ◽  
S.Yu. Lukashchuk
Keyword(s):  
Anomalous Diffusion ◽  
Fractional Derivatives ◽  
Descent Method ◽  
Extremum Problem ◽  
Steepest Descent Method ◽  
Coefficient Problem ◽  
Caputo Fractional Derivatives ◽  
Inverse Coefficient Problem ◽  
Residual Functional ◽  
Inverse Coefficient

An inverse coefficient problem is considered for time-fractional anomalous diffusion equations with the Riemann-Liouville and Caputo fractional derivatives. A numerical algorithm is proposed for identification of anomalous diffusivity which is considered as a function of concentration. The algorithm is based on transformation of inverse coefficient problem to extremum problem for the residual functional. The steepest descent method is used for numerical solving of this extremum problem. Necessary expressions for calculating gradient of residual functional are presented. The efficiency of the proposed algorithm is illustrated by several test examples.

scholarly journals Coefficients problems for families of holomorphic functions related to hyperbola

2020 ◽  
Vol 70 (3) ◽  
pp. 605-616
Author(s):  
Stanisława Kanas ◽  
Vali Soltani Masih ◽  
Ali Ebadian
Keyword(s):  
Unit Disk ◽  
Holomorphic Functions ◽  
Hankel Determinant ◽  
Coefficient Problem

AbstractWe consider a family of analytic and normalized functions that are related to the domains ℍ(s), with a right branch of a hyperbolas H(s) as a boundary. The hyperbola H(s) is given by the relation $\begin{array}{} \frac{1}{\rho}=\left( 2\cos\frac{\varphi}{s}\right)^s\quad (0 \lt s\le 1,\, |\varphi| \lt (\pi s)/2). \end{array}$ We mainly study a coefficient problem of the families of functions for which zf′/f or 1 + zf″/f′ map the unit disk onto a subset of ℍ(s) . We find coefficients bounds, solve Fekete-Szegö problem and estimate the Hankel determinant.

Passive Reduced Order Macromodeling Based on Loewner Matrix Interpolation

2016 ◽  
Vol 64 (8) ◽  
pp. 2423-2432 ◽  
Author(s):  
Marco T. Kassis ◽  
Muhammad Kabir ◽  
Yi Qing Xiao ◽  
Roni Khazaka
Keyword(s):  
Reduced Order ◽  
Matrix Interpolation

Improved MoM-PO-Based Technique for Wideband Analysis of Antennas around Large Platforms

2012 ◽  
Vol 629 ◽  
pp. 646-648
Author(s):  
Ji Ma ◽  
Shu Xi Gong ◽  
Qian Wang
Keyword(s):  
Frequency Response ◽  
Method Of Moments ◽  
Hybrid Method ◽  
Wide Band ◽  
Numerical Results ◽  
Physical Optics ◽  
Impedance Matrix ◽  
Mutual Impedance ◽  
Interpolation Technique ◽  
Matrix Interpolation

An improved wide-band analysis which combines the hybrid method of moments-physical optics (MoM-PO) formula with impedance matrix interpolation technique for antennas around large platforms is presented. The algorithm proposed in this paper interpolated the mutual impedance matrix between MoM and PO regions rather than the MoM self-matrix. This practice can result in more accurate frequency response than the conventional approach. Sample numerical results demonstrate the capability of the algorithm.

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