Results 1 to 10 of about 612,388 (310)
On Ambarzumian type theorems for tree domains [PDF]
Opuscula 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
Disorder Solutions for Generalized Ising Model with Multispin Interaction
Современные 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
IEEE 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
Analytical solutions to some generalized and polynomial eigenvalue problems
Special 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
Journal 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
Further generalization of symmetric multiplicity theory to the geometric case over a field
Special 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
Sturm's Theorem for Min matrices
AIMS Mathematics, 2023 In the present paper, we study Min matrix $ \mathcal{A}_{min} = \left[a_{min\left(i, j\right)}\right]_{i, j = 1}^n $, where $ a_s $'s are the elements of a real sequence $ \left\lbrace a_s\right\rbrace $.
Efruz Özlem Mersin
doaj +1 more source
A parameterized shift-splitting preconditioner for saddle point problems
Mathematical 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
Conditioning analysis of block incomplete factorization and its application to elliptic equations [PDF]
, 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
Spectra of Graphs Resulting from Various Graph Operations and Products: a Survey
Special Matrices, 2018 Let G be a graph on n vertices and A(G), L(G), and |L|(G) be the adjacency matrix, Laplacian matrix and signless Laplacian matrix of G, respectively. The paper is essentially a survey of known results about the spectra of the adjacency, Laplacian and ...
Barik S., Kalita D., Pati S., Sahoo G.
doaj +1 more source