Weyl Titchmarsh matrix functions for matrix Dirac-type equations (non-self-adjoint case)

2002 ◽  
Vol 18 (6) ◽  
pp. 1525-1536 ◽  
Author(s):  
L Sakhnovich
Keyword(s):  
Matrix Functions ◽  
Dirac Type

scholarly journals Weyl matrix functions and inverse problems for discrete Dirac-type self-adjoint systems: explicit and general solutions

2008 ◽  
pp. 201-231 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein ◽  
I. Roitberg ◽  
Clément de Seg ins Pazzis
Keyword(s):  
Inverse Problems ◽  
Matrix Functions ◽  
General Solutions ◽  
Adjoint Systems ◽  
Dirac Type ◽  
Weyl Matrix

scholarly journals Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

2015 ◽  
Vol 48 (4) ◽  
pp. 045207 ◽  
Author(s):  
L A González-Díaz ◽  
Alberto A Díaz ◽  
S Díaz-Solórzano ◽  
J R Darias
Keyword(s):  
Space Dimension ◽  
Dirac Type ◽  
One Space Dimension

scholarly journals Very badly approximable matrix functions

2005 ◽  
Vol 11 (1) ◽  
pp. 127-154 ◽  
Author(s):  
V. V. Peller ◽  
S. R. Treil
Keyword(s):  
Matrix Functions ◽  
Badly Approximable

A New Random Data Description and Its Use in Transferring Road Roughness to Vehicle Response

1974 ◽  
Vol 96 (2) ◽  
pp. 676-679 ◽  
Author(s):  
J. C. Wambold ◽  
W. H. Park ◽  
R. G. Vashlishan
Keyword(s):  
Spectral Density ◽  
Frequency Distribution ◽  
Descriptive Analysis ◽  
Joint Probability ◽  
Amplitude Distribution ◽  
Matrix Functions ◽  
Initial Portion ◽  
Power Spectral ◽  
Road Roughness ◽  
Cross Spectral Density

The initial portion of the paper discusses the more conventional method of obtaining a vehicle transfer function where phase and magnitude are determined by dividing the cross spectral density of the input/output by the power spectral density (PSD) of the input. The authors needed a more descriptive analysis (over PSD) and developed a new signal description called Amplitude Frequency Distribution (AFD); a discrete joint probability of amplitude and frequency with the advantage of retaining amplitude distribution as well as frequency distribution. A better understanding was obtained, and transfer matrix functions were developed using AFD.

Derivatives of Eigenvalues and Eigenvectors of Matrix Functions

1993 ◽  
Vol 14 (4) ◽  
pp. 903-926 ◽  
Author(s):  
Alan L. Andrew ◽  
K.-W. Eric Chu ◽  
Peter Lancaster
Keyword(s):  
Matrix Functions ◽  
Eigenvalues And Eigenvectors ◽  
Derivatives Of
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