Results 11 to 20 of about 63,997 (266)
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
Tensor Eigenvalue and SVD from the Viewpoint of Linear Transformation
Axioms, 2023 A linear transformation from vector space to another vector space can be represented as a matrix. This close relationship between the matrix and the linear transformation is helpful for the study of matrices.
Xinzhu Zhao, Bo Dong, Bo Yu, Yan Yu
doaj +1 more source
Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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
The Square of Some Generalized Hamming Graphs
Mathematics, 2023 In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete graphs.
Yipeng Li, Jing Zhang, Meili Wang
doaj +1 more source
Eigenvalue and Generalized Eigenvalue Problems: Tutorial
CoRR, 2019 This paper is a tutorial for eigenvalue and generalized eigenvalue problems. We first introduce eigenvalue problem, eigen-decomposition (spectral decomposition), and generalized eigenvalue problem. Then, we mention the optimization problems which yield to the eigenvalue and generalized eigenvalue problems. We also provide examples from machine learning,
Benyamin Ghojogh +2 more
openaire +2 more sources
Biometrika, 2020 Summary The properties of penalized sample covariance matrices depend on the choice of the penalty function. In this paper, we introduce a class of nonsmooth penalty functions for the sample covariance matrix and demonstrate how their use results in a grouping of the estimated eigenvalues.
Tyler, David E., Yi, Mengxi
openaire +2 more sources
Eigenvalue Decomposition of a Parahermitian Matrix: Extraction of Analytic Eigenvalues [PDF]
IEEE Transactions on Signal Processing, 2021 An analytic parahermitian matrix admits an eigenvalue decomposition (EVD) with analytic eigenvalues and eigenvectors except in the case of multiplexed data. In this paper, we propose an iterative algorithm for the estimation of the analytic eigenvalues.
Stephan Weiss 0001 +2 more
openaire +3 more sources
OPTIMIZATION OF 3D LOCAL ORIENTATION MAP CALCULATION IN THE MATLAB FRAMEWORK
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2015 This paper presents the development and evaluation of a new approach toward the optimization of 3D local orientation map calculation in the Matlab framework. This new approach can be detailed as: optimize eigenvector calculation for PCA analysis of X-ray
Ranya Al Darwich, Laurent Babout
doaj +1 more source
Construction of L-equienergetic graphs using some graph operations
AKCE International Journal of Graphs and Combinatorics, 2020 For a graph G with n vertices and m edges, the eigenvalues of its adjacency matrix A(G) are known as eigenvalues of G. The sum of absolute values of eigenvalues of G is called the energy of G.
S. K. Vaidya, Kalpesh M. Popat
doaj +1 more source