Results 71 to 80 of about 2,643,042 (116)
Elements of dynamic parameters modification and sensitivity [PDF]
Structural modifications can cause changes in the matrices of some elements. Depending on the type of structure, or a desired change, a group of elements can be modified.
Trišović Nataša+3 more
doaj
Eigenpairs of adjacency matrices of balanced signed graphs
In this article, we study eigenvalues λ\lambda and their associated eigenvectors xx of the adjacency matrices AA of balanced signed graphs. Balanced signed graphs were first introduced and studied by Harary to handle a problem in social psychology ...
Chen Mei-Qin
doaj +1 more source
The paper presents the perturbation method which was used for computation of eigenvalues and eigenvectors for the assumed homogeneous state of strain in the hyperelastic Murnaghan material.
Major Izabela, Major Maciej
doaj +1 more source
Eigenvalues and eigenvectors of complex Hadamard matrices [PDF]
Characterizing the $6\times 6$ complex Hadamard matrices (CHMs) is an open problem in linear algebra and quantum information. In this paper, we investigate the eigenvalues and eigenvectors of CHMs. We show that any $n\times n$ CHM with dephased form has two constant eigenvalues $\pm\sqrt{n}$ and has two constant eigenvectors.
arxiv
Localization on low-order eigenvectors of data matrices [PDF]
Eigenvector localization refers to the situation when most of the components of an eigenvector are zero or near-zero. This phenomenon has been observed on eigenvectors associated with extremal eigenvalues, and in many of those cases it can be meaningfully interpreted in terms of "structural heterogeneities" in the data.
arxiv
A New Perspective on Eigenvalues and Eigenvectors of Bicomplex Linear Operators [PDF]
This paper deals with eigenvalues and eigenvectors of bicomplex linear operators defined on bicomplex space. We investigate the properties of these operators in the context of eigenvalues and eigenvectors, along with some relevant theorems. Several theorems are explored to establish conditions for bicomplex eigenvalues and eigenvectors.
arxiv
On extended eigenvalues and extended eigenvectors of truncated shift
Alkanjo Hasan
doaj +1 more source
A Method for Finding LR Fuzzy Eigenvectors of Real Symmetric Matrix
In this paper, the calculation methods of the real eigenvalues and LR fuzzy eigenvectors of clear real symmetry matrices are deeply considered. The original fuzzy feature problem is extended by using the arithmetic algorithm of LR fuzzy numbers into a ...
Xinyi Duan, Hangru Lin, Xiaobin Guo
doaj
Eigenvalues and eigenvectors [PDF]
Given a square matrix \( {\rm A} \in \mathbb{C}^{{n \times n}} \), the eigenvalue problem consists in finding a scalar λ (real or complex) and a nonnull vector x such that $${\rm Ax} = \lambda{\rm x}$$ (6.1) Any such λ is called an eigenvalue of A, while x is the associated eigenvector.
Alfio Quarteroni+3 more
+6 more sources