NumCosmoMathMatrix

Atomically decrements the reference count of cm by one. If the reference count drops to 0, all memory allocated by cm is released. The pointer is set to NULL.

This function allocates memory for a new NcmMatrix of doubles with nrows rows and ncols columns and sets all elements to zero.

Substitute the matrix cm by nm, first it unref cm if it is not NULL. If check_size is TRUE then check if the two matrix have the same size.

This function adds the elements of the matrices cm1 and cm2. The two matrices must have the same size.

This function adds the the constant factor val to the elements of the matrix cm. The result is stored in cm.

This function performs the operation cm1 = a $\times$ cm2 $+$ cm1.

This function adds the value val to the (i,j)-th element of the matrix cm.

Creates a vector containing the row-wise concatenation of the matrix cm. It requires a matrix with tda==ncols.

Calculates in-place the Cholesky decomposition for a symmetric positive definite matrix.

Calculates inplace the inverse of cm that has been previously decomposed by the Cholesky decomposition ncm_matrix_cholesky_decomp().

Calculates determinant of a symmetric positive definite matrix, that was previously decomposed using ncm_matrix_cholesky_decomp().

Calculates in-place the Cholesky decomposition for a symmetric positive definite matrix and solve the system $A x = B$ where $A=$cm and $B$=b.

Using a previously computed Cholesky decomposition in cm, through ncm_matrix_cholesky_decomp(), solves the system $A x = B$ where $A=$cm and $B$=b.

This function performes a comparison, component-wise, of the two matrices, given by $\left| \right. ($cm1 $-$ cm2 $)/($scale $+$ cm2$)\left. \right|$ and returns its maximum value.

This function is similar to ncm_matrix_cmp(), but now only the diagonal elements are compared.

This function returns the number of elements in a column of the matrix cm. The columns length.

This function returns a constant pointer to the matrix cm base data.

Atomically decrements the reference count of cv by one. If the reference count drops to 0, all memory allocated by cv is released.

This function returns a constant pointer to the #gsl_matrix associated to the matrix cm.

If UL == ‘U’ copy the upper triangle over the lower. If UL == ‘L’ copy the lower triangle over the upper.

Convert a covariance matrix cov to a correlation matrix cor. The matrices cor and cov can be the same object.

Convert a covariance matrix cov to a newly allocated correlation matrix.

This function returns a pointer to the matrix cm base data.

Calculates $C = \alpha\mathrm{op}(A)\mathrm{op}(B) + \beta C$.

This function divides the elements of the matrices cm1 and cm2. The two matrices must have the same size.

This function performes the following operation:.

Duplicates cm setting the same values of the original propertities.

This function returns an GArray containing a copy of its elements..

This function returns the value of the cm[i,j] element by direct access of its base data. Where ij = i $\times$ tda $+$ j.

This function sets the value of the cm[i,j] element to val by direct access of its base data. Where ij = i $\times$ tda $+$ j.

Overwrite cm with a random correlation matrix, the parameter cor_level controls the correlation between entries the lower cor_level more correlated the entries are.

Overwrite cm with a random covariance matrix, the parameter cor_level controls the correlation between entries the lower cor_level more correlated the entries are.

Overwrite cm with a random covariance matrix, the parameter cor_level controls the correlation between entries the lower cor_level more correlated the entries are.

Atomically decrements the reference count of cm by one. If the reference count drops to 0, all memory allocated by cm is released.

This function returns the array of cv. It is only applied if the matrix cm was created with ncm_matrix_new_array().

This function returns the elements of the col column of the matrix cm into a NcmVector.

Gets the (i,j)-th component of cm assuming a column-major order.

This function copies de diagonal elements of the matrix cm to the vector diag.

This function returns the elements of the row row of the matrix cm into a NcmVector.

This function returns a submatrix NcmMatrix of the matrix cm. The upper-left element of the submatrix is the element (k1,k2) of the original matrix. The submatrix has nrows rows and ncols columns.

This function gets a variant of values taken from cm.

This function returns a pointer to the #gsl_matrix associated to the matrix cm.

Prints to the log the values of cm.

This function copies the elements of the matrix cm2 into the matrix cm1. The two matrices must have the same size.

This function copies the elements of the matrix cm2 into the matrix cm1. The two matrices must have the same size. The elements are written in cm1 in column-major order order.

This function multiplies column col_i elements by val.

This function multiplies the elements of the matrices cm1 and cm2. The two matrices must have the same size.

This function multiplies row row_i elements by val.

This function returns the number of elements in a column of the matrix cm.

Assuming that cm is a symmetric matrix with data on UL side, computes the nearest positive definite matrix in the Frobenius norm. See [Higham (2002)][XHigham2002]. The iterations stop when the Cholesky decomposition is valid.

This function returns the number of elements in a row of the matrix cm.

This function gets a variant of values taken from cm using the same memory. The matrix cm should not be modified during the variant existance.

Increase the reference count of cm by one.

This function returns the number of elements in a row of the matrix cm. The rows length.

This function multiplies the elements of the matrix cm by the constant factor val. The result is stored in cm.

This function sets the value of the (i,j)-th element of the matrix cm to val.

This function sets all the elements of the matrix cm to val.

This function copies the elements of the vector cv into the n-th column of the matrix cm. The length of the vector must be the same as the length of the column.

This function sets the value of the (i,j)-th element of the matrix cm to val considering it being in the column-major order.

This function copies de the elements of the vector diag to the diagonal elements of the matrix cm.

This function sets the valuus of cm using data. Data must have the same size as NcmMatrix.

This function sets the valuus of cm using data. Data must have the same size as NcmMatrix.

This function sets the values of cm using the variant var.

This function sets the elements of the matrix cm to the corresponding elements of the identity matrix, i.e. a unit diagonal with all off-diagonal elements zero. This applies to both square and rectangular matrices.

This function copies the elements of the vector cv into the n-th row of the matrix cm. The length of the vector must be the same as the length of the row.

This function sets all the elements of the matrix cm to zero.

Calculates the total size of the matrix, ncols $\times$ nrows.

Computes the symmetric matrix $M^\intercal \times M$ if NT == ‘T’ or $M\times M^\intercal$ if NT == ‘N’. The result is stored in the upper/lower triangle if UL=’U’/’L’.

This function subtracts the elements of the matrices cm1 and cm2. The two matrices must have the same size.

Assuming that cm is a symmetric matrix with data on UL side, computes the matrix exponential of cm and its cholesky decomposition.

Assuming that cm is a symmetric matrix with data on UL side, computes the matrix logarithm of cm.

Computes the matrix - vector product $u = \alpha M v + \beta u$ if NT == ‘N’ or $u = M^\intercal v$ if NT == ‘T’ and stores the result in u. This function assumes that $M$ is symmetric and it´s stored in the Upper/Lower triangle if UL == ‘U’/’L’.

This functions returns the matrix cm tda value.

This function replaces the matrix cm by its transpose by copying the elements of the matrix in-place. The matrix must be square for this operation to be possible.

Assuming that cm is a triangular square matrix with data on UL side, computes the symmetric matrix $M^\intercal \times M$ if cm is upper triangular or $M\times M^\intercal$ if it is lower triangular.

Computes the matrix - vector product $u = \alpha M v + \beta u$ if NT == ‘N’ or $u = \alpha M^\intercal v + u$ if NT == ‘T’ and stores the result in u.