Without any doubt, a lot of scientific problems are directly related to matrix algebra. Obtaining eigenvalues or eigenvectors of matrices is one of the basic tasks in many fields of science and technology. The significance of matrices is especially prominent in modern physics. Almost all quantum pr...
eigenvaluesMonteCarlomethodsneutrontransportThis paper presents results from the application of a Monte Carlo Markov Transition Rate Matrix Method to calculate forward and adjoint 伪 eigenvalues and eigenfunctions of one-speed slabs, and perform eigenfunction expansion to approximate the time-dependent flux ...
Eigenvalues of the adjacency and Laplacian matrices for modified regular structural models The graph model of many space structures and finite element models can be formed using graph products. These structures are known as regular structures. Me... A Kaveh,H Rahami - 《International Journal for ...
The Riemannian Geometry of the Space of Positive-Definite Matrices and Its Application to the Regularization of Positive-Definite Matrix-Valued Data In this paper we present a Riemannian framework for smoothing data that are constrained to live in P(n)mathcal{P}(n), the space of symmetric ...
4.He had made a numerical error.他犯了数值计算错误。 5.Computation of Matrix Eigenvalues by VBA in Excel用Excel VBA进行矩阵特征值的数值计算 6.Finally, the numerical result of capacitance parameters is presented.最后给出了电容参数的数值计算结果。 7.The common system is used in numerical work ...
We have developed a quantitative, analytic methodthat evaluates the dynamic changes of a hemi-ellipsoid over time that takesdata points from a surface and transforms the data using a kernel function tomatrix form. A least square analysis minimizes the difference between actualand calculated values ...
摘要: In this article, we are to find the root of a square matrix A . Specially,if matrix A has multiple eigenvalues, we present a manual solution so as to find the root of it. In other words, we focus on solving the equation X 2 = A and find the solutions....
of the matrix elements{h}_{pq}and{g}_{pqrs}.38A common technique is to assume pure spin-orbitals and integrate over the spin variable. As we want to develop a formalism that is also valid for relativistic calculations, we will remain working with spinors in this work. Adaptation to a ...
MA Freitag,A Spence,PV Dooren 摘要: We propose a fast algorithm to calculate the $H_{\infty}$-norm of a transfer matrix. The method builds on a well-known relationship between singular values of the transfer function and pure imaginary eigenvalues of a certain Hamiltonian matrix. Using this...
(17)–(19) nx normal to the crack front (see Fig. 2) pi, i = 1, 2, 3 eigenvalues of the compatibility equations with positive imaginary part qi virtual crack extension r radial crack tip coordinate tij matrix of direction cosines between the material and crack tip coordinate systems ui,...