Results 101 to 110 of about 277,976 (316)
Structural properties of a symmetric Toeplitz and Hankel matrices [PDF]
In this paper, we investigate properties of a symmetric Toeplitz matrix and a Hankel matrix by studying the components of its graph. To this end, we introduce the notion of ``weighted Toeplitz graph" and ``weighted Hankel graph", which are weighted graphs whose adjacency matrix are a symmetric Toeplitz matrix and a Hankel matrix, respectively.
arxiv +1 more source
PBTTT‐OR‐R, a C14‐alkoxy/alkyl‐PBTTT polymer derivative, is of substantial interest for optoelectronics due to its specific fullerene intercalation behavior and enhanced charge‐transfer absorption. Comparing this polymer with (S) and without (O) homocoupling defects reveals that PBTTT‐OR‐R(O) forms stable co‐crystals with PC61BM, while PBTTT‐OR‐R(S ...
Zhen Liu+14 more
wiley +1 more source
Exponents of primitive symmetric companion matrices [PDF]
A {\it symmetric companion matrix} is a matrix of the form $A +A^T$ where $A$ is a companion matrix all of whose entries are in $\{0,1\}$ and $A^T$ is the transpose of $A.$ In this paper, we find the total number of primitive and the total number of imprimitive symmetric companion matrices.
arxiv
On minimizing the largest eigenvalue of a symmetric matrix
AbstractOptimization problems involving eigenvalues arise in many engineering problems. In this paper, we consider the problem of minimizing the largest eigenvalue over an affine family of symmetric matrices. This problem has a variety of applications, such as the stability analysis of dynamic systems or the computation of structured singular values ...
Batool Nekooie, M.K.H. Fan
openaire +3 more sources
Direct Ink Writing of Conductive Hydrogels
This review examines the use of direct ink writing (DIW) for fabricating conductive hydrogels with customizable 3D structures. It outlines the rheological requirements for successful DIW, followed by an exploration of the materials and ink formulations used to impart electronic and/or ionic conductivity to hydrogels while maintaining printability ...
Monica Ho+6 more
wiley +1 more source
The concept of secondary range symmetric matrices are introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given.
Divya Shenoy
doaj
Matlab Applications for Skew-Symmetric Matrices and Integral Curves in Lorentzian Spaces
In [8], the authors obtained the non-zero solutions of the equation A(x)=0, in Lorentzian space where A is a skew-symmetric matrix corresponding to the linear map A and got normal forms of the skew-symmetric matrix A, depending on the causal characters ...
Tuhahan Turhan+2 more
doaj +4 more sources
Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade [PDF]
We show that the set of $m \times m$ complex skew-symmetric matrix polynomials of odd grade $d$, i.e., of degree at most $d$, and (normal) rank at most $2r$ is the closure of the single set of matrix polynomials with the certain, explicitly described, complete eigenstructure.
arxiv
This study introduces a conductive nerve guidance conduit integrated with wireless electrical stimulation through alternating magnetic fields, which induces currents and creates a supportive microenvironment for nerve regeneration. In vivo studies show that this approach significantly enhanced myelin restoration, gastrocnemius muscle regeneration ...
Shiheng Liu+7 more
wiley +1 more source
Sifat Nilai Eigen Matriks Antiadjacency dari Graf Simetrik
Antiadjacency matrix is one of the ways to represent a directed graph . Let G be a directed graph with V(G)={v1, v2, . . ., vn} . The adjacency matrix of G is a matrix A=(aij) of order n x n , with aij=1 if there is an edge from vi to vj , for i not ...
Noni selvia
doaj +1 more source