=-u″with zero boundary conditions by quadratic hierarchical basic are shown explicitly.The condition numberof the resulting system behaves like O(1/h)where h is the mesh size.We also analyze a main diagonal preconditioner of the stiffness matrix which reduces the condition number of the ...
we study the trace and the eigenvalues of a positive definite Hermitian matrix and get inequalities about the trace and eigenvalues between the Schur complement of the sum of positive definite Hermiteian matrix and the sum of the Schur complements of positive definite Hermiteian matrix by proving ...
In today’s era of rapid development in science and technology, the development of digital technology has increasingly higher requirements for data processing functions. The matrix signal commonly used in engineering applications also puts forward higher requirements for processing speed. The eigenvalues of...
I wonder which of the Fortran variants ran on the 6600. I used a Control Data machine in the 1980's before we had IBM's. Interesting in looking at results the stiffness matrix generated by the Intel Complier is different in 2 elements -- having 13.35 and 6.75 in place of 13.335 and ...
Summary: A frequency-condensation method is proposed for solving the eigenvalue and eigenvector problem for large matrix systems arising in the finite element discretization of structures. The basic steps of the method are described. The accuracy of the method is demonstrated on specific examples and...
In this paper, we present a theory for bounding the minimum eigenvalues, maximum eigenvalues, and condition numbers of stiffness matrices arising from the -version of finite element analysis. Bounds are derived for the eigenvalues and the condition numbers, which are valid for stiffness matrices base...
The dominant set of eigenvectors of the symmetrical kernel Gram matrix is used in many important kernel methods (like e.g. kernel Principal Component Analy... L Hoegaerts,LD Lathauwer,I Goethals,... - 《Neural Networks the Official Journal of the International Neural Network Society》 被引量:...
A preconditioned conjugate projected gradient (PCPG) method is given to solve the repeated eigenvector derivatives with respect to design parameters in finite element models. The factored stiffness matrix is used as a preconditioner, the... X Xia,Q Fan,S Yang - 《Journal of Physics Conference》...
Please refer to the images, I have plotted a heat map of the matrices which presents the type of numbers being used. Note that this is for a small 24x24 matrix since this is easier to view. Reply | Flag 0 Daniel Lichtblau, Wolfram Research Posted 6 months ago Are these matrices ...
My Mass and Stiffness matrices will be 30X30. My modal matrix will 30X28. Is there a solution for this? Any help is greatly appreciated. Thanks, Joshua 1 decade ago Hi I cannot remeber there is any particular limit on number of modes, but you must be sure you resolve the modes correc...