#include#include using namespace Teuchos; int main() { // Create a 3x3 matrix int numRows = 3, numCols = 3; SerialDenseMatrix A(numRows, numCols); // Fill the matrix for (int row = 0; row < numRows; ++row) { for (int col = 0; col < numCols; ++col) { A(row, col) = row + col; } } // Print the matrix std::cout << "A =\n" << A << std::endl; return 0; }
#includeThis example demonstrates how to solve a linear system using Teuchos's LAPACK interface. The matrix and right-hand side vector are created manually, and then a `SerialDenseSolver` object is used to compute the solution. The solution vector is then printed to the console. In conclusion, Teuchos is a C++ package library developed at Sandia National Laboratories for scientific and engineering applications. It provides tools for dealing with arrays, linear algebra, and other mathematical operations, and includes a LAPACK interface for solving linear systems.#include using namespace Teuchos; int main() { // Create a 3x3 matrix and a right-hand side vector int numRows = 3, numCols = 3; SerialDenseMatrix A(numRows, numCols); A(0, 0) = 2; A(0, 1) = 1; A(0, 2) = -1; A(1, 0) = 4; A(1, 1) = 1; A(1, 2) = 0; A(2, 0) = -2; A(2, 1) = 1; A(2, 2) = 2; SerialDenseVector b(numRows); b(0) = 8; b(1) = 18; b(2) = -4; // Create a solver and solve the system SerialDenseSolver solver; solver.setMatrix(Teuchos::rcp(&A, false)); solver.setVectors(Teuchos::rcp(&b, false), Teuchos::null); solver.factor(); solver.solve(); // Print the solution vector std::cout << "x =\n" << solver.getSolution() << std::endl; return 0; }