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On Ambarzumian type theorems for tree domains [PDF]

open access: yesOpuscula Mathematica, 2022
It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
doaj   +1 more source

Rayleigh quotient with bolzano booster for faster convergence of dominant eigenvalues

open access: yesIJAIN (International Journal of Advances in Intelligent Informatics), 2022
Computation ranking algorithms are widely used in several informatics fields. One of them is the PageRank algorithm, recognized as the most popular search engine globally.
M Zainal Arifin   +3 more
doaj   +1 more source

BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite
L.M. Eneeva
doaj   +1 more source

Vortex-induced vibration of two elastically connected bodies: experimental verification of lock-in to multiple eigenmodes

open access: yesJournal of Fluid Science and Technology, 2017
This study examines experimentally the vortex-induced vibration (VIV) of a mechanical system with two eigenmodes. A previous experiment setup was refined to enable the experiment, and was placed in a circulating water channel to submerge a movable ...
Yoshiki NISHI, Komei SAITOH
doaj   +1 more source

A parameterized shift-splitting preconditioner for saddle point problems

open access: yesMathematical Biosciences and Engineering, 2019
Recently, Chen and Ma [A generalized shift-splitting preconditioner for saddle point problems, Applied Mathematics Letters, 43 (2015) 49-55] introduced a generalized shift-splitting preconditioner for saddle point problems with symmetric positive ...
Li-Tao Zhang , Chao-Qian Li, Yao-Tang Li
doaj   +1 more source

Disorder Solutions for Generalized Ising Model with Multispin Interaction

open access: yesСовременные информационные технологии и IT-образование, 2019
This study demonstrates a development of convenient formulae for obtaining the value of the free energy in the thermodynamic limit on a set of exact disorder solutions depending on four parameters for a 2D generalized Ising model in an external magnetic ...
Pavel V. Khrapov
doaj   +1 more source

Consistency in Positive Reciprocal Matrices: An Improvement in Measurement Methods

open access: yesIEEE Access, 2018
Consistency estimation of decision-makers' judgments in decision-making processes is fundamental to generating agreements and making decisions. Analytic hierarchy process (AHP) is a widely used method to solve this type of problem, enabling evaluation of
Jose Ignacio Pelaez   +2 more
doaj   +1 more source

Conditioning analysis of block incomplete factorization and its application to elliptic equations [PDF]

open access: yes, 1997
The paper deals with eigenvalue estimates for block incomplete fac- torization methods for symmetric matrices. First, some previous results on upper bounds for the maximum eigenvalue of preconditioned matrices are generalized to each eigenvalue.
Axelsson, Owe, Lu, Hao
core   +2 more sources

Analytical solutions to some generalized and polynomial eigenvalue problems

open access: yesSpecial Matrices, 2021
It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
doaj   +1 more source

Further generalization of symmetric multiplicity theory to the geometric case over a field

open access: yesSpecial Matrices, 2021
Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric ...
Cinzori Isaac   +3 more
doaj   +1 more source

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