I was working with the computation of the eigenvectors of a 3X3 symmetric matrix with algebraic entries and Maple 17 doesn´t give me an answer after a long time, even with CUDA activated. You can see this by the commands below:
I have currently encountered a problem that I am not sure if is a mathematical problem or a problem with Maple itself. I want to find the eigenvalues and eigenvectors of the following matrix:
[[2.460*10^9*sin(theta)^2+8.970*10^6*cos(theta)^2, 0, 2.449*10^9*sin(theta)*cos(theta)], [0,8.450*10^6*sin(theta)^2+8.970*10^6*cos(theta)^2,0],[2.449*10^9*sin(theta)*cos(theta),8.970*10^6*sin(theta)^2+2.530*10^9*cos(theta)^2]]
Maple is able to conjure...
I solve a mechanical exercise but i had a problem.
I know M (mass) and S (stifness) matrices (6x6).
I want to solve the (λ2M+S)v=0 eigenvalue problem, where λ are the eigenvalues and
Hi, I have a matrix D which is a 33x33 matrix. I find the eigenvector using "Eigenvectors(D)". It gives me the eigenvalue together with the eigenvector. Then, i want to multiply the eignevector with another 33x33 matrix. How can I get the eigenvector without the eigenvalues attached to it? please advice.
[A]+[B] N+[C] N^(2)+[D] N^(3)+...N^(8)
[A],[B],[C],[D],... is known 8*8 matrix ;
how to find Eigenvalues and Eigenvectors and N?
Im new to Maple, so i have a couple of questions. In the last few days I have learned the basic of Maple, and now i would like to solve an differential equation.
The Math question is:
Enter the solution of differential equation:
In the link i have put in the informations from the math question.
I've used Eigenvectors to solve for eigenvalues & eigenvectors. Eigenvalues works, no problem.
The eigenvectors are not normalized to unit magnitude (how would I do that for all eigenvectors?) and the usual matrix multiplication of the eigenmatrix by its transpose should give the identity matrix--and somehow it does not.
Can someone point out the flaw in my thinking? The file is attached.
Thanks for you insight!
I am dissapointed. I recently upgraded to Maple 15 and I bought a license for the NAG libraries thinking that I could use NAG mark 8 chapter F12 to solve my Eigenvalue problem with large sparse matrix, in reality, there seems to be no implementation of these NAG routines in Maple. is there a way to get around this problem? I know I can also connect to MATLAB to take advantage of the integrated sparse handling but I want to avoid buying another piece of software(you know we scientist aren't millionaries).
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