Jan 2, 2014 · The Lanczos algorithm is an iterative algorithm invented by Cornelius Lanczos that is an adaptation of power methods to find eigenvalues and ...
Sep 17, 2016 · The iterative method in ARPACK is very efficient for computing the large eigenvalues (high frequencies), but much less efficient for the small ...
The oldest and the simplest method for solving eigenvalue problems is the so-called power method. ... eigenvalues and eigenvectors of large sparse matrices ...
Jan 26, 2022 · I have a complex, non-symmetric yet sparse matrix (800,000x800,000 with ~10M nnz) that is stored in a file in COO format, i.e., {row, col, real( ...
Mar 21, 2014 · I have the following problem. There is a matrix A of size NxN , where N = 200 000 . It is very sparse, there are exactly ...
Abstract. We discuss several techniques for nding leading eigenvalues and eigenvectors for large sparse matrices. The techniques are demonstrated on a ...
Sep 10, 2010 · I am trying to compute the asymptotic growth-rate in a specific combinatorial problem depending on a parameter w, using the Transfer-Matrix ...
Algorithms for sparse matrix eigenvalue problems. ; Author: John Gregg Lewis. John Gregg Lewis. View Profile ; Publisher: Stanford University, Stanford, CA, ...
Aug 22, 2018 · Hi, I need to calculate all eigen values and eigen vectors of a very large sparse matrix(above 20k*20k) but an out of memory error will ...
This is a revised edition of a book which appeared close to two decades ago. Someone scrutinizing how the field has evolved in these two decades will make.