Stetigkeit, partielle Ableitungen und Jacobi-Matrix

2021 ◽  
pp. 129-143
Author(s):  
Klaus Höllig ◽  
Jörg Hörner
Keyword(s):  
Jacobi Matrix

Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov
Keyword(s):  
Dynamical System ◽  
Inverse Problems ◽  
Jacobi Matrix ◽  
Jacobi Matrices ◽  
Unknown Parameters ◽  
Stieltjes String ◽  
Propagation Of Waves ◽  
Dynamic Inverse

Abstract We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein–Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems.

Peculiarities of the Electron-Phonon Interaction in Graphite Containing Metallic Intercalated Layers

2010 ◽  
Vol 297-301 ◽  
pp. 75-81 ◽  
Author(s):  
Alexander Feher ◽  
S.B. Feodosyev ◽  
I.A. Gospodarev ◽  
V.I. Grishaev ◽  
K.V. Kravchenko ◽  
...  
Keyword(s):  
Jacobi Matrix ◽  
Local Density ◽  
Dynamic Properties ◽  
Electronic States ◽  
Bcs Theory ◽  
Phonon Interaction ◽  
Electron Phonon Interaction ◽  
Density Of Electronic States ◽  
Eliashberg Equation ◽  
Phonon Spectra

The calculation of the local density of electronic states of graphene with vacancies, using the method of Jacobi matrix, was performed. It was shown that for atoms in the sublattice with a vacancy the local density of electronic states conserves the Dirac singularity, similarly as in an ideal graphene. A quasi-Dirac singularity was observed also in the phonon spectra of graphite for the atom displacements in the direction perpendicular to layers. Changes of phonon spectra of graphite intercalated with various metals were analyzed. On the basis of our results and using the BCS theory and Eliashberg equation we proposed what dynamic properties an intercalated graphite system should show to obtain an increased Tc.

scholarly journals On the construction of a Jacobi matrix from its mixed-type eigenpairs

2003 ◽  
Vol 362 ◽  
pp. 191-200 ◽  
Author(s):  
Zhen-yun Peng ◽  
Xi-yan Hu ◽  
Lei Zhang
Keyword(s):  
Mixed Type ◽  
Jacobi Matrix

Inverse Spectrum Problems for Block Jacobi Matrix

1993 ◽  
pp. 81-90
Author(s):  
Benren Zhu ◽  
K. R. Jackson ◽  
R. P. K. Chan
Keyword(s):  
Jacobi Matrix

Motion angle decomposition of humanoid vision system based on Jacobi matrix

2018 ◽  
Vol 47 (8) ◽  
pp. 817006
Author(s):  
樊 凡 Fan Fan ◽  
潘志康 Pan Zhikang ◽  
娄小平 Lou Xiaoping ◽  
董明利 Dong Mingli ◽  
祝连庆 Zhu Lianqing
Keyword(s):  
Jacobi Matrix ◽  
Vision System

scholarly journals Upward Extension of the Jacobi Matrix for Orthogonal Polynomials

1996 ◽  
Vol 86 (3) ◽  
pp. 335-357 ◽  
Author(s):  
André Ronveaux ◽  
Walter Van Assche
Keyword(s):  
Orthogonal Polynomials ◽  
Jacobi Matrix

Application of Stieltjes theory for S-fractions to birth and death processes

1983 ◽  
Vol 15 (03) ◽  
pp. 507-530 ◽  
Author(s):  
G. Bordes ◽  
B. Roehner
Keyword(s):  
Asymptotic Behavior ◽  
Lower Bound ◽  
Special Class ◽  
Jacobi Matrix ◽  
General Theorem ◽  
Sufficient Conditions ◽  
Death Process ◽  
Nearest Neighbour ◽  
Birth And Death Process ◽  
Birth And Death Processes

We are interested in obtaining bounds for the spectrum of the infinite Jacobi matrix of a birth and death process or of any process (with nearest-neighbour interactions) defined by a similar Jacobi matrix. To this aim we use some results of Stieltjes theory for S-fractions, after reviewing them. We prove a general theorem giving a lower bound of the spectrum. The theorem also gives sufficient conditions for the spectrum to be discrete. The expression for the lower bound is then worked out explicitly for several, fairly general, classes of birth and death processes. A conjecture about the asymptotic behavior of a special class of birth and death processes is presented.

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