dnsymreg.cc

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/*   ARPACK++ v1.0 8/1/1997   c++ interface to ARPACK code.   MODULE DNSymReg.cc.   Example program that illustrates how to solve a real   nonsymmetric dense standard eigenvalue problem in regular    mode using the ARluNonSymStdEig class.   1) Problem description:      In this example we try to solve A*x = x*lambda in regular mode,      where A is derived from the standard central difference      discretization of the 2-dimensional convection-diffusion operator                       (Laplacian u) + rho*(du/dx)      on a unit square with zero Dirichlet boundary conditions.   2) Data structure used to represent matrix A:      Although A is very sparse in this example, it is stored      here columnwise as a dense matrix.   3) Included header files:      File             Contents      -----------      -------------------------------------------      dnmatrxa.h       DenseMatrixA, a function that generates                       matrix A.      ardnsmat.h       The ARdsNonSymMatrix class definition.      ardsnsym.h       The ARluNonSymStdEig class definition.      lnsymsol.h       The Solution function.   4) ARPACK Authors:      Richard Lehoucq      Kristyn Maschhoff      Danny Sorensen      Chao Yang      Dept. of Computational & Applied Mathematics      Rice University      Houston, Texas*/#include "dnmatrxa.h"#include "ardnsmat.h"#include "ardsnsym.h"#include "lnsymsol.h"main(){  // Defining variables;  int     nx;  int     n;       // Dimension of the problem.  double  rho;     // Parameter used to define A.  double* A;       // Pointer to an array that stores the elements of A.  // Creating a 100x100 matrix.  nx  = 10;  rho = 100.0;  DenseMatrixA(nx, rho, n, A);  ARdsNonSymMatrix<double> matrix(n, A);  // Defining what we need: the four eigenvectors of A with largest magnitude.  ARluNonSymStdEig<double> dprob(4, matrix, "SM", 20);  // Finding eigenvalues and eigenvectors.  dprob.FindEigenvectors();  // Printing solution.  Solution(matrix, dprob);} // main.

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