int main(int argc, char* argv[]) { std::cout << Teuchos::Teuchos_Version() << std::endl << std::endl; // Creating a double-precision matrix can be done in several ways: // Create an empty matrix with no dimension Teuchos::SerialSymDenseMatrix<int,double> Empty_Matrix; // Create an empty 4x4 matrix Teuchos::SerialSymDenseMatrix<int,double> My_Matrix( 4 ); // Basic copy of My_Matrix Teuchos::SerialSymDenseMatrix<int,double> My_Copy1( My_Matrix ), // (Deep) Copy of principle 3x3 submatrix of My_Matrix My_Copy2( Teuchos::Copy, My_Matrix, 3 ), // (Shallow) Copy of 3x3 submatrix of My_Matrix My_Copy3( Teuchos::View, My_Matrix, 3, 1 ); // The matrix dimensions and strided storage information can be obtained: int rows, cols, stride; rows = My_Copy3.numRows(); // number of rows cols = My_Copy3.numCols(); // number of columns stride = My_Copy3.stride(); // storage stride TEUCHOS_ASSERT_EQUALITY(rows, 3); TEUCHOS_ASSERT_EQUALITY(cols, 3); TEUCHOS_ASSERT_EQUALITY(stride, 4); // Matrices can change dimension: Empty_Matrix.shape( 3 ); // size non-dimensional matrices My_Matrix.reshape( 3 ); // resize matrices and save values // Filling matrices with numbers can be done in several ways: My_Matrix.random(); // random numbers My_Copy1.putScalar( 1.0 ); // every entry is 1.0 My_Copy1 = 1.0; // every entry is 1.0 (still) My_Copy2(1,1) = 10.0; // individual element access Empty_Matrix = My_Matrix; // copy My_Matrix to Empty_Matrix // Basic matrix arithmetic can be performed: Teuchos::SerialDenseMatrix<int,double> My_Prod( 4, 3 ), My_GenMatrix( 4, 3 ); My_GenMatrix = 1.0; // Matrix multiplication ( My_Prod = 1.0*My_GenMatrix*My_Matrix ) My_Prod.multiply( Teuchos::RIGHT_SIDE, 1.0, My_Matrix, My_GenMatrix, 0.0 ); My_Copy2 += My_Matrix; // Matrix addition My_Copy2 *= 0.5; // Matrix scaling // Matrices can be compared: // Check if the matrices are equal in dimension and values if (Empty_Matrix == My_Matrix) { std::cout<< "The matrices are the same!" <<std::endl; } // Check if the matrices are different in dimension or values if (My_Copy2 != My_Matrix) { std::cout<< "The matrices are different!" <<std::endl; } // The norm of a matrix can be computed: double norm_one, norm_inf, norm_fro; norm_one = My_Matrix.normOne(); // one norm norm_inf = My_Matrix.normInf(); // infinity norm norm_fro = My_Matrix.normFrobenius(); // frobenius norm std::cout << std::endl << "|| My_Matrix ||_1 = " << norm_one << std::endl; std::cout << "|| My_Matrix ||_Inf = " << norm_inf << std::endl; std::cout << "|| My_Matrix ||_F = " << norm_fro << std::endl << std::endl; // A matrix can be factored and solved using Teuchos::SerialDenseSolver. Teuchos::SerialSpdDenseSolver<int,double> My_Solver; Teuchos::SerialSymDenseMatrix<int,double> My_Matrix2( 3 ); My_Matrix2.random(); Teuchos::SerialDenseMatrix<int,double> X(3,1), B(3,1); X = 1.0; B.multiply( Teuchos::LEFT_SIDE, 1.0, My_Matrix2, X, 0.0 ); X = 0.0; // Make sure the computed answer is correct. int info = 0; My_Solver.setMatrix( Teuchos::rcp( &My_Matrix2, false ) ); My_Solver.setVectors( Teuchos::rcp( &X, false ), Teuchos::rcp( &B, false ) ); info = My_Solver.factor(); if (info != 0) std::cout << "Teuchos::SerialSpdDenseSolver::factor() returned : " << info << std::endl; info = My_Solver.solve(); if (info != 0) std::cout << "Teuchos::SerialSpdDenseSolver::solve() returned : " << info << std::endl; // A matrix triple-product can be computed: C = alpha*W'*A*W double alpha=0.5; Teuchos::SerialDenseMatrix<int,double> W(3,2); Teuchos::SerialSymDenseMatrix<int,double> A1(2), A2(3); A1(0,0) = 1.0, A1(1,1) = 2.0; A2(0,0) = 1.0, A2(1,1) = 2.0, A2(2,2) = 3.00; W = 1.0; Teuchos::SerialSymDenseMatrix<int,double> C1(3), C2(2); Teuchos::symMatTripleProduct<int,double>( Teuchos::NO_TRANS, alpha, A1, W, C1); Teuchos::symMatTripleProduct<int,double>( Teuchos::TRANS, alpha, A2, W, C2 ); // A matrix can be sent to the output stream: std::cout<< My_Matrix << std::endl; std::cout<< X << std::endl; return 0; }
int main(int argc, char* argv[]) { #ifdef HAVE_MPI MPI_Init(&argc,&argv); #endif // Creating a double-precision matrix can be done in several ways: // Create an empty matrix with no dimension Teuchos::SerialDenseMatrix<int,double> Empty_Matrix; // Create an empty 3x4 matrix Teuchos::SerialDenseMatrix<int,double> My_Matrix( 3, 4 ); // Basic copy of My_Matrix Teuchos::SerialDenseMatrix<int,double> My_Copy1( My_Matrix ), // (Deep) Copy of principle 3x3 submatrix of My_Matrix My_Copy2( Teuchos::Copy, My_Matrix, 3, 3 ), // (Shallow) Copy of 2x3 submatrix of My_Matrix My_Copy3( Teuchos::View, My_Matrix, 2, 3, 1, 1 ); // The matrix dimensions and strided storage information can be obtained: int rows, cols, stride; rows = My_Copy3.numRows(); // number of rows cols = My_Copy3.numCols(); // number of columns stride = My_Copy3.stride(); // storage stride // Matrices can change dimension: Empty_Matrix.shape( 3, 3 ); // size non-dimensional matrices My_Matrix.reshape( 3, 3 ); // resize matrices and save values // Filling matrices with numbers can be done in several ways: My_Matrix.random(); // random numbers My_Copy1.putScalar( 1.0 ); // every entry is 1.0 My_Copy2(1,1) = 10.0; // individual element access Empty_Matrix = My_Matrix; // copy My_Matrix to Empty_Matrix // Basic matrix arithmetic can be performed: Teuchos::SerialDenseMatrix<int,double> My_Prod( 3, 2 ); // Matrix multiplication ( My_Prod = 1.0*My_Matrix*My_Copy^T ) My_Prod.multiply( Teuchos::NO_TRANS, Teuchos::TRANS, 1.0, My_Matrix, My_Copy3, 0.0 ); My_Copy2 += My_Matrix; // Matrix addition My_Copy2.scale( 0.5 ); // Matrix scaling // The pointer to the array of matrix values can be obtained: double *My_Array, *My_Column; My_Array = My_Matrix.values(); // pointer to matrix values My_Column = My_Matrix[2]; // pointer to third column values // The norm of a matrix can be computed: double norm_one, norm_inf, norm_fro; norm_one = My_Matrix.normOne(); // one norm norm_inf = My_Matrix.normInf(); // infinity norm norm_fro = My_Matrix.normFrobenius(); // frobenius norm // Matrices can be compared: // Check if the matrices are equal in dimension and values if (Empty_Matrix == My_Matrix) { cout<< "The matrices are the same!" <<endl; } // Check if the matrices are different in dimension or values if (My_Copy2 != My_Matrix) { cout<< "The matrices are different!" <<endl; } // A matrix can be sent to the output stream: cout<< My_Matrix << endl; #ifdef HAVE_MPI MPI_Finalize(); #endif return 0; }