![]() It is ok to leave the default number of decimal places for computation. For each of the eigenvalues \(A_1, A_2, A_3\), compute the associated eigenvectors using the following template code: (Hints: Set IP_1 and P=0 on page 1 of the worksheet. (i) Direct iteration method, start with eo =. You are required to use the MATHCAD worksheet entitled 'Finding eigenvalues and eigenvectors associated with Activities 5.1-5.3 in Unit 6 (the given matrix is similar to the matrix (A) in the given worksheet) to investigate the effect of carrying out the corresponding iteration procedure. If it does not converge or is slow, suggest a reason why it is not converging. Write the number of iterations required for the convergence. o Select Insert Component Data Import Wizard. ![]() To import text files, o Put the cursor in an empty spot in the worksheet. So matlab and python eigenvectors vec are not matching. It is advisable, for novices, to use data saved as text files. If it does converge, write down which eigenvalue and eigenvector were reached. There are several types of data that can be imported, including databases, Matlab and Excel files. Whether the iteration converges to a value with 3 decimal places accuracy. In each case of the above Part (ii), comment on: (Hints: Set IP=3 and P=-15 on page 1 of the worksheet. (iii) Modified inverse iteration method, start with C =. (Hints: Set IP=2 and P=0 on page 1 of the worksheet. (ii) Inverse iteration method, start with C =. (Hints: Set IP1 and P=0 on page 1 of the worksheet. You should reset the value of N to 10 at the start of each part. You will find it necessary to try a different number of iterations in the worksheet during your investigations. Investigate each of the following 3 cases using your MATHCAD results. The corresponding values of v are the generalized right eigenvectors. The values of that satisfy the equation are the generalized eigenvalues. and also present a MATLAB toolbox for solving a wide range of problems. The generalized eigenvalue problem is to determine the solution to the equation Av Bv, where A and B are n -by- n matrices, v is a column vector of length n, and is a scalar. Use your Mathcad software to compute the eigenvalues and eigenvectors of the matrix A. Eigenvalues and eigenvectors are an essential theme in numerical linear algebra. SOLVED: You are required to use the MATHCAD worksheet entitled 'Finding eigenvalues and eigenvectors associated with Activities 5.1-5.3 in Unit 6 (the given matrix is similar to the matrix (A) in the given worksheet) to investigate the effect of carrying out the corresponding iteration procedure.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |