Name
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Description
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CholeskyDecomposition
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Decomposes the matrix A into a triangular form L such that L*L.Transpose() = A, or a triangular form L, a permutation matrix P, and a diagonal matrix D such that P^T*L*D*L^T*P = A. The version used depends on the overload chosen. By default, L will be a lower triangle form, unless an upper triangle form is specified.
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ConditionNumber
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Computes the condition number of the matrix.
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CrossProduct
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Computes the cross product with the specified vector.
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Determinant
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Calculates the determinant of the matrix. If the matrix is not square, an error is thrown.
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DotProduct
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Computes the dot product with the specified vector.
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EigenDecomposition
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Decomposes the matrix as M = V D V^-1 where the columns of V are the eigen vectors of M and the D is a diagonal matrix where the diagonal elements are the eigen values of M. If the matrix is not diagonizable an error is thrown.
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Format
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Converts the numeric values contained within the calling Matrix into a string based on the format specifiers given by formatString. The format specifiers are standard C/C++ specifiers as used with the sprintf function. The Format method converts a double precision floating point value to a string; the IFormat method should be used to convert an integer value to a string. By default, columns are delimited with spaces, and rows will be delimited with a newline.
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IFormat
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Converts the numeric values contained within the calling Matrix into a string based on the format specifiers given by formatString. The format specifiers are standard C/C++ specifiers as used with the sprintf function. The IFormat method converts an integer value to a string; the Format method should be used to convert a double precision floating point value to a string. By default, columns are delimited with spaces, and rows are delimited with a newline.
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Inverse
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Calculates the inverse of the matrix.
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IsEqualTo
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Determines if two matrices are equal.
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IsIndefinite
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Determines if the matrix is indefinite.
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IsInvertible
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Determines if the matrix inverse can be calculated.
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IsNegativeDefinite
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Determines if the matrix is negative definite.
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IsNegativeSemiDefinite
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Determines if the matrix is negative semi-definite.
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IsNull
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Determines if the matrix contains only zeros.
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IsPositiveDefinite
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Determines if the matrix is positive definite.
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IsPositiveSemiDefinite
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Determines if the matrix is positive semi-definite.
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IsSymmetric
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Determines if the matrix is symmetric.
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Kurtosis
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Calculates the kurtosis of the matrix elements.
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LUDecomposition
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Decomposes the matrix into lower and upper triangular matrices. If the decomposition cannot be performed an error is thrown.
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Max
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Calculates the maximum of the matrix elements.
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Mean
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Calculates the mean of the matrix elements.
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Median
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Calculates the median of the matrix elements.
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Min
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Calculates the minimum value of the matrix elements.
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Norm
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Computes the norm of the matrix.
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Normalized
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Computes the matrix divided by its Frobenius norm.
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PolynomialFit
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Uses Singular Value Decomposition to compute the coefficients of a polynomial to best fit the data set defined by the nx2 calling matrix.
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PolynomialRoots
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Treats the matrix of numbers as the coefficients of a polynomial wherein the coefficients are arranged from highest to lowest degree. The degree of the polynomial must be between 1 and 100. Returns the real roots of the polynomial.
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PseudoInverse
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Calculates the Moore-Penrose pseudoinverse of the matrix.
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QRDecomposition
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Decomposes matrix A into matrices Q and R such that A = QR by using Householder transformations. Here, Q is a unitary matrix and R is an upper triangular matrix.
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Rank
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Calculates the rank of the matrix.
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Repeat
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Returns a matrix consisting of the specified value repeated the specified number of times.
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SingularValueDecomposition
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Decomposes any n x m matrix A such that A = U*S*V.Transpose() where U is an n x n unitary matrix, V is an m x m unitary matrix, and S is an n x m matrix with the singular values of A on the main diagonal.
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Skewness
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Calculates the skewness of the matrix elements.
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Solve
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Solve the system of linear equations written 'A * x = b' where A and b are matrices for the vector x.
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StandardDeviation
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Calculates the standard deviation of the matrix elements.
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Sum
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Calculates the sum of the matrix elements.
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ToArrayColumnMajor
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Returns an array containing each of the matrix columns concatenated together.
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ToArrayRowMajor
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Returns an array containing each of the matrix rows concatenated together.
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Trace
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Calculates the trace of the matrix. If the matrix isn't square an error is thrown.
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Transpose
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Returns a matrix containing the transpose of the calling matrix.
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VertexAngle
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Returns the angle in degrees between two 3-element vectors.
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