Essays about: "matrix-less methods"

Found 2 essays containing the words matrix-less methods.

1. 1. Exploring and extending eigensolvers for Toeplitz(-like) matrices : A study of numerical eigenvalue and eigenvector computations combined with matrix-less methods

   University essay from Uppsala universitet/Institutionen för informationsteknologi

   Author : Martin Knebel; Fredrik Cers; Oliver Groth; [2022]
   Keywords : Toeplitz matrices; eigenvalue computation; eigenvector computation; matrix-less methods;

   Abstract : We implement an eigenvalue solving algorithm proposed by Ng and Trench, specialized for Toeplitz(-like) matrices, utilizing root finding in conjunction with an iteratively calculated version of the characteristic polynomial. The solver also yields corresponding eigenvectors as a free bi-product. READ MORE

3. 2. A Matrix-less Method for Approximating the Eigenvectors of Toeplitz-like Matrices

   University essay from Uppsala universitet/Institutionen för informationsteknologi

   Author : David Meadon; [2021]
   Keywords : ;

   Abstract : Matrix-less methods (MLM) have successfully been used to efficiently approximate the eigenvalues of certain classes of structured matrices. Specifically, the method has been used to approximate the eigenvalues of Toeplitz and Toeplitz-like matrices. READ MORE