monolish  0.14.2
MONOlithic LIner equation Solvers for Highly-parallel architecture
laplacian.cpp
Go to the documentation of this file.
1 #include "../../../include/monolish_blas.hpp"
2 #include "../../internal/monolish_internal.hpp"
3 
4 namespace monolish {
5 
6 template <typename T> matrix::COO<T> util::laplacian_matrix_1D(const int &M) {
7  return util::tridiagonal_toeplitz_matrix<T>(M, 2.0, -1.0);
8 }
9 template matrix::COO<double> util::laplacian_matrix_1D(const int &M);
10 template matrix::COO<float> util::laplacian_matrix_1D(const int &M);
11 
12 template <typename T>
13 T util::laplacian_matrix_1D_eigenvalue(const int &M, int N) {
14  return util::tridiagonal_toeplitz_matrix_eigenvalue<T>(M, N, 2.0, -1.0);
15 }
16 template double util::laplacian_matrix_1D_eigenvalue(const int &M, int N);
17 template float util::laplacian_matrix_1D_eigenvalue(const int &M, int N);
18 
19 } // namespace monolish
monolish
Definition: monolish_matrix_blas.hpp:10
monolish::matrix::COO
Coodinate (COO) format Matrix (need to sort)
Definition: monolish_coo.hpp:45
monolish::util::laplacian_matrix_1D_eigenvalue
T laplacian_matrix_1D_eigenvalue(const int &M, int N)
Nth smallest eigenvalue of 1D Laplacian matrix.
Definition: laplacian.cpp:13
monolish::util::laplacian_matrix_1D
matrix::COO< T > laplacian_matrix_1D(const int &M)
create 1D Laplacian matrix
Definition: laplacian.cpp:6
Generated by   doxygen 1.8.17