C# DenseMatrix.Add方法代码示例

        public void CanAddSparseMatricesBothWays()
        {
            var m1 = new SparseMatrix(1, 3);
            var m2 = Matrix<double>.Build.SparseOfArray(new double[,] { { 0, 1, 1 } });
            var sum1 = m1 + m2;
            var sum2 = m2 + m1;
            Assert.IsTrue(sum1.Equals(m2));
            Assert.IsTrue(sum1.Equals(sum2));

            Matrix<double> sparseResult = new SparseMatrix(1, 3);
            sparseResult.Add(m2, sparseResult);
            Assert.IsTrue(sparseResult.Equals(sum1));

            sparseResult = Matrix<double>.Build.SparseOfArray(new double[,] { { 0, 1, 1 } });
            sparseResult.Add(m1, sparseResult);
            Assert.IsTrue(sparseResult.Equals(sum1));

            sparseResult = Matrix<double>.Build.SparseOfArray(new double[,] { { 0, 1, 1 } });
            m1.Add(sparseResult, sparseResult);
            Assert.IsTrue(sparseResult.Equals(sum1));

            sparseResult = Matrix<double>.Build.SparseOfArray(new double[,] { { 0, 1, 1 } });
            sparseResult.Add(sparseResult, sparseResult);
            Assert.IsTrue(sparseResult.Equals(2*sum1));

            Matrix<double> denseResult = new DenseMatrix(1, 3);
            denseResult.Add(m2, denseResult);
            Assert.IsTrue(denseResult.Equals(sum1));

            denseResult = Matrix<double>.Build.DenseOfArray(new double[,] { { 0, 1, 1 } });
            denseResult.Add(m1, denseResult);
            Assert.IsTrue(denseResult.Equals(sum1));

            var m3 = Matrix<double>.Build.DenseOfArray(new double[,] { { 0, 1, 1 } });
            var sum3 = m1 + m3;
            var sum4 = m3 + m1;
            Assert.IsTrue(sum3.Equals(m3));
            Assert.IsTrue(sum3.Equals(sum4));
        }

//.........这里部分代码省略.........
            Console.WriteLine(@"Multiply vector by matrix using method LeftMultiply. (A.LeftMultiply(vec, vec))");
            Console.WriteLine(vector.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Multiply matrix by matrix
            // 1. Using operator "*"
            resultM = matrixA * matrixB;
            Console.WriteLine(@"Multiply matrix by matrix using operator *. (result = A * B)");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 2. Using Multiply method and getting result into different matrix instance
            resultM = (DenseMatrix)matrixA.Multiply(matrixB);
            Console.WriteLine(@"Multiply matrix by matrix using method Multiply. (result = A.Multiply(B))");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 3. Using Multiply method and updating matrix itself
            matrixA.Multiply(matrixB, matrixA);
            Console.WriteLine(@"Multiply matrix by matrix using method Multiply. (A.Multiply(B, A))");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Pointwise multiplies matrix with another matrix
            // 1. Using PointwiseMultiply method and getting result into different matrix instance
            resultM = (DenseMatrix)matrixA.PointwiseMultiply(matrixB);
            Console.WriteLine(@"Pointwise multiplies matrix with another matrix using method PointwiseMultiply. (result = A.PointwiseMultiply(B))");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 2. Using PointwiseMultiply method and updating matrix itself
            matrixA.PointwiseMultiply(matrixB, matrixA);
            Console.WriteLine(@"Pointwise multiplies matrix with another matrix using method PointwiseMultiply. (A.PointwiseMultiply(B, A))");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Pointwise divide matrix with another matrix
            // 1. Using PointwiseDivide method and getting result into different matrix instance
            resultM = (DenseMatrix)matrixA.PointwiseDivide(matrixB);
            Console.WriteLine(@"Pointwise divide matrix with another matrix using method PointwiseDivide. (result = A.PointwiseDivide(B))");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 2. Using PointwiseDivide method and updating matrix itself
            matrixA.PointwiseDivide(matrixB, matrixA);
            Console.WriteLine(@"Pointwise divide matrix with another matrix using method PointwiseDivide. (A.PointwiseDivide(B, A))");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Addition
            // 1. Using operator "+"
            resultM = matrixA + matrixB;
            Console.WriteLine(@"Add matrices using operator +. (result = A + B)");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 2. Using Add method and getting result into different matrix instance
            resultM = (DenseMatrix)matrixA.Add(matrixB);
            Console.WriteLine(@"Add matrices using method Add. (result = A.Add(B))");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 3. Using Add method and updating matrix itself
            matrixA.Add(matrixB, matrixA);
            Console.WriteLine(@"Add matrices using method Add. (A.Add(B, A))");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Subtraction
            // 1. Using operator "-"
            resultM = matrixA - matrixB;
            Console.WriteLine(@"Subtract matrices using operator -. (result = A - B)");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 2. Using Subtract method and getting result into different matrix instance
            resultM = (DenseMatrix)matrixA.Subtract(matrixB);
            Console.WriteLine(@"Subtract matrices using method Subtract. (result = A.Subtract(B))");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 3. Using Subtract method and updating matrix itself
            matrixA.Subtract(matrixB, matrixA);
            Console.WriteLine(@"Subtract matrices using method Subtract. (A.Subtract(B, A))");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // Divide by scalar
            // 1. Using Divide method and getting result into different matrix instance
            resultM = (DenseMatrix)matrixA.Divide(3.0);
            Console.WriteLine(@"Divide matrix by scalar using method Divide. (result = A.Divide(3.0))");
            Console.WriteLine(resultM.ToString("#0.00\t", formatProvider));
            Console.WriteLine();

            // 2. Using Divide method and updating matrix itself
            matrixA.Divide(3.0, matrixA);
            Console.WriteLine(@"Divide matrix by scalar using method Divide. (A.Divide(3.0, A))");
            Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider));
            Console.WriteLine();
        }

        public void StructureRecurse(DenseMatrix X, DenseMatrix Psi, DenseVector d, int n, ref DenseMatrix Q,
            ref DenseMatrix O, ref DenseMatrix pT_n)
        {
            //O = O(t-1) O_enxt = O(t)
            //o should be a column vector ( in matrix form)
            var x = new DenseVector(X.RowCount);
            var psi = new DenseVector(Psi.ColumnCount);

            X.Column(n, x);
            Psi.Row(n, psi);

            DenseMatrix p_n = CalculateGreatPsi((DenseMatrix) x.ToColumnMatrix(), (DenseMatrix) psi.ToRowMatrix());

            pT_n = (DenseMatrix) p_n.Transpose();

            double ee = Math.Abs(d[n] - (pT_n.Multiply(O))[0, 0]);
            double temp = 1 + (pT_n.Multiply(Q)).Multiply(p_n)[0, 0];
            double ae = Math.Abs(ee/temp);

            if (ee >= ae)
            {
                var L = (DenseMatrix) Q.Multiply(p_n).Multiply(1/temp);
                Q = (DenseMatrix) ((DenseMatrix.Identity(Q.RowCount).Subtract(L.Multiply(pT_n))).Multiply(Q));
                O = (DenseMatrix) O.Add(L*ee);
            }
            else
            {
                Q = (DenseMatrix) DenseMatrix.Identity(Q.RowCount).Multiply(Q);
            }
        }