Function | Purpose Statement |
|---|---|
Adds a scalar to each component of a vector, x ← x + a, all complex. | |
Computes the scalar times a vector plus a vector, y ← ax + y, all complex. | |
Copies a complex band matrix stored in complex band storage mode. | |
Converts a complex matrix in band storage mode to a complex matrix in full storage mode. | |
Converts a complex general matrix to a matrix in complex band storage mode. | |
Copies a complex general matrix. | |
Computes the convolution of two complex vectors. | |
Copies a vector x to a vector y, both complex. | |
Computes the correlation of two complex vectors. | |
Approximates the gradient using central differences. | |
Computes the complex conjugate dot product, . | |
Computes the complex dot product xTy. | |
Computes one of the matrix-vector operations: , where A is a matrix stored in band storage mode. | |
Computes one of the matrix-matrix operations: | |
Computes one of the matrix-vector operations: | |
Computes the rank-one update of a complex general matrix: . | |
Computes the rank-one update of a complex general matrix: . | |
Copies a complex Hermitian band matrix stored in band Hermitian storage mode to a complex band matrix stored in band storage mode. | |
Computes the matrix-vector operation , where A is an Hermitian band matrix in band Hermitian storage. | |
Computes one of the matrix-matrix operations: , where A is an Hermitian matrix and B and C are m by n matrices. | |
Computes the matrix-vector operation , where A is an Hermitian matrix. | |
Computes the rank-one update of an Hermitian matrix: with x complex and α real. | |
Computes a rank-two update of an Hermitian matrix: . | |
Computes one of the Hermitian rank 2k operations: , where C is an n by n Hermitian matrix and A and B are n by k matrices in the first case and k by n matrices in the second case. | |
Computes one of the Hermitian rank k operations: , where C is an n by n Hermitian matrix and A is an n by k matrix in the first case and a k by n matrix in the second case. | |
Extends a complex Hermitian matrix defined in its upper triangle to its lower triangle. | |
Checks a user-supplied gradient of a function. | |
Checks a user-supplied Hessian of an analytic function. | |
Checks a user-supplied Hessian of an analytic function. | |
Checks a user-supplied Jacobian of a system of equations with M functions in N unknowns. | |
Computes the matrix-vector operation y ← αAx + βy where A is an Hermitian matrix. | |
Performs the matrix-vector operation: , where A is a triangular packed Hermitian. | |
Computes the condition number of a matrix. | |
Computes the least-squares constrained spline approximation, returning the B-spline coefficients. | |
Returns the value of various mathematical and physical constants. | |
Returns CPU time used in seconds. | |
Converts a real matrix in band storage mode to a complex matrix in band storage mode. | |
Copies a real band matrix stored in band storage mode. | |
Converts a real matrix in band storage mode to a real general matrix. | |
Copies a real general matrix to a complex general matrix. | |
Converts a real general matrix to a matrix in band storage mode. | |
Copies a real general matrix. | |
Copies a real rectangular matrix to a complex rectangular matrix. | |
Evaluates the derivative of a cubic spline on a grid. | |
Computes the Akima cubic spline interpolant. | |
Copies a real symmetric band matrix stored in band symmetric storage mode to a real band matrix stored in band storage mode. | |
Multiplies a vector by a scalar, y ← ay, both complex. | |
Computes a cubic spline interpolant that is consistent with the concavity of the data. | |
Computes the cubic spline interpolant with specified derivative endpoint conditions. | |
Evaluates the derivative of a cubic spline. | |
Sets the components of a vector to a scalar, all complex. | |
Extends a real symmetric matrix defined in its upper triangle to its lower triangle. | |
Computes the Hermite cubic spline interpolant. | |
Computes the cubic spline interpolant with the ‘not-a-knot’ condition and return values of the interpolant at specified points. | |
Computes the cubic spline interpolant with the ‘not-a-knot’ condition. | |
Evaluates the integral of a cubic spline. | |
Computes the cubic spline interpolant with periodic boundary conditions. | |
Applies a complex Givens plane rotation. | |
Applies a complex modified Givens plane rotation. | |
Multiplies a complex vector by a single-precision scalar, y ← ay. | |
Computes a smooth cubic spline approximation to noisy data using cross-validation to estimate the smoothing parameter. | |
Smooths one-dimensional data by error detection. | |
Computes a smooth cubic spline approximation to noisy data. | |
Subtracts each component of a vector from a scalar, x ← a ‑ x, all complex. | |
Evaluates a cubic spline. | |
Multiplies a complex vector by a single-precision scalar and store the result in another complex vector, y ← ax. | |
Interchanges vectors x and y, both complex. | |
Computes one of the matrix-matrix operations: , where A is a symmetric matrix and B and C are m by n matrices. | |
Computes one of the symmetric rank 2k operations: , where C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case. | |
Computes one of the symmetric rank k operations: , where C is an n by n symmetric matrix and A is an n by k matrix in the first case and a k by n matrix in the second case. | |
Computes one of the matrix-vector operations: , where A is a triangular matrix in band storage mode. | |
Solves one of the complex triangular systems: , where A is a triangular matrix in band storage mode. | |
Solves one of the system of equations: where A is a packed upper or lower triangular matrix. | |
Performes the matrix-vector operation, , where A is a packed triangular matrix. | |
Computes one of the matrix-matrix operations: where B is an m by n matrix and A is a triangular matrix. | |
Computes one of the matrix-vector operations: , where A is a triangular matrix. | |
Solves one of the complex matrix equations: where A is a traiangular matrix | |
Solves one of the complex triangular systems: , where A is a triangular matrix. | |
Converts X in units XUNITS to Y in units YUNITS. | |
Multiplies a vector by a scalar and store the result in another vector, y ← ax, all complex. | |
Converts a character string containing an integer number into the corresponding integer form. | |
Computes the sum of a complex scalar plus a complex conjugate dot product, , using a double-precision accumulator. | |
Computes the sum of a complex scalar, a complex dot product and the double-complex accumulator, which is set to the result ACC ← ACC + a + xTy. | |
Computes the complex conjugate dot product, , using a double-precision accumulator. | |
Computes the sum of a complex scalar plus a complex dot product using a double-complex accumulator, which is set to the result ACC ← a + xTy. | |
Computes the complex dot product xTy using a double-precision accumulator. | |
Computes the sum of a complex scalar plus a complex dot product, a + xTy, using a double-precision accumulator. |