S

FNLMath : Appendix A Alphabetical Summary of Routines : S

Function	Purpose Statement
SADD	Adds a scalar to each component of a vector, x ← x + a, all single precision.
SASUM	Sums the absolute values of the components of a single-precision vector.
SAXPY	Computes the scalar times a vector plus a vector, y ← ax + y, all single precision.
ScaLAPACK_EXIT	Exits ScaLAPACK mode for the IMSL Library routines.
ScaLAPACK_GETDIM	Calculates the row and column dimensions of a local distributed array based on the size of the array to be distributed and the row and column blocking factors to be used.
ScaLAPACK_MAP	Maps array data from a global array to local arrays in the two-dimensional block-cyclic form required by ScaLAPACK routines.
ScaLAPACK_READ	Reads matrix data from a file and transmits it into the two-dimensional block-cyclic form required by ScaLAPACK routines.
ScaLAPACK_SETUP	Sets up a processor grid and calculates default values for use in mapping arrays to the processor grid
ScaLAPACK_UNMAP	Unmaps array data from local distributed arrays to a global array.
ScaLAPACK_WRITE	Writes the matrix data to a file.
SCASUM	Sums the absolute values of the real part together with the absolute values of the imaginary part of the components of a complex vector.
SCNRM2	Computes the Euclidean norm of a complex vector.
SCOPY	Copies a vector x to a vector y, both single precision.
SDDOTA	Computes the sum of a single-precision scalar, a single-precision dot product and the double-precision accumulator, which is set to the result ACC ACC + a + xTy.
SDDOTI	Computes the sum of a single-precision scalar plus a singleprecision dot product using a double-precision accumulator, which is set to the result ACC a + xTy.
SDOT	Computes the single-precision dot product xTy.
SDSDOT	Computes the sum of a single-precision scalar and a single precision dot product, a + xTy, using a double-precision accumulator.
SGBMV	Computes one of the matrix-vector operations: , where A is a matrix stored in band storage mode.
SGEMM	Computes one of the matrix-matrix operations:
SGEMV	Computes one of the matrix-vector operations:
SGER	Computes the rank-one update of a real general matrix:
SHOW	Prints rank-1 or rank-2 arrays of numbers in a readable format.
SHPROD	Computes the Hadamard product of two single-precision vectors.
SINLP	Computes the inverse Laplace transform of a complex function.
SLCNT	Calculates the indices of eigenvalues of a Sturm-Liouville problem with boundary conditions (at regular points) in a specified subinterval of the real line, [α, β].
SLEIG	Determines eigenvalues, eigenfunctions and/or spectral density functions for Sturm-Liouville problems in the form with boundary conditions (at regular points).
SLPRS	Solves a sparse linear programming problem via the revised simplex algorithm.
SNRM2	Computes the Euclidean length or L2 norm of a single-precision vector.
SORT_REAL	Sorts a rank-1 array of real numbers x so the y results are algebraically nondecreasing, y1 ≤ y2 ≤ … yn.
SPLEZ	Computes the values of a spline that either interpolates or fits user-supplied data.
SPLINE_CONSTRAINTS	Returns the derived type array result.
SPLINE_FITTING	Weighted least-squares fitting by B-splines to discrete One-Dimensional data is performed.
SPLINE_VALUES	Returns an array result, given an array of input
SPRDCT	Multiplies the components of a single-precision vector.
SRCH	Searches a sorted vector for a given scalar and return its index.
SROT	Applies a Givens plane rotation in single precision.
SROTG	Constructs a Givens plane rotation in single precision.
SROTM	Applies a modified Givens plane rotation in single precision.
SROTMG	Constructs a modified Givens plane rotation in single precision.
SSBMV	Computes the matrix-vector operation , where A is a symmetric matrix in band symmetric storage mode.
SSCAL	Multiplies a vector by a scalar, y ← ay, both single precision.
SSET	Sets the components of a vector to a scalar, all single precision.
SSPMV	Performs the matrix-vector operation y := α A x + β * y.
SSPR	Performs the matrix-vector operation, A ← A + αxxT where A is a packed symmetric matrix.
SSPR2	Performs the symmetric rank 2 operation,A ← A + αxyT + αyxT where A is a packed symmetric matrix.
SSRCH	Searches a character vector, sorted in ascending ASCII order, for a given string and return its index.
SSUB	Subtracts each component of a vector from a scalar, x ← a ‑ x, all single precision.
SSUM	Sums the values of a single-precision vector.
SSWAP	Interchanges vectors x and y, both single precision.
SSYMM	Computes one of the matrix-matrix operations: , where A is a symmetric matrix and B and C are m by n matrices.
SSYMV	Computes the matrix-vector operation , where A is a symmetric matrix.
SSYR	Computes the rank-one update of a real symmetric matrix: .
SSYR2	Computes the rank-two update of a real symmetric matrix: .
SSYR2K	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.
SSYRK	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.
STBMV	Computes one of the matrix-vector operations: , where A is a triangular matrix in band storage mode.
STBSV	Solves one of the triangular systems: , where A is a triangular matrix in band storage mode.
STPMV	Performs one of the matrix-vector operations, x ← Ax, x ← ATx where A is an N × N packed triangular matrix.
STPSV	Solves one of the systems of equations, x ← A-1x, x ← (A-1)Tx where A is an N × N packed triangular matrix.
STRMM	Computes one of the matrix-matrix operations: where B is an m by n matrix and A is a triangular matrix.
STRMV	Computes one of the matrix-vector operations: , where A is a triangular matrix.
STRSM	Solves one of the matrix equations: where B is an m by n matrix and A is a triangular matrix.
STRSV	Solves one of the triangular linear systems: where A is a triangular matrix.
SURF	Computes a smooth bivariate interpolant to scattered data that is locally a quintic polynomial in two variables.
SURFND	Multidimensional interpolation and differentiation.
SURFACE_CONSTRAINTS	Returns the derived type array result given optional input.
SURFACE_FITTING	Weighted least-squares fitting by tensor product B-splines to discrete two-dimensional data is performed.
SURFACE_VALUES	Returns a tensor product array result, given two arrays of independent variable values.
SVCAL	Multiplies a vector by a scalar and store the result in another vector, y ← ax, all single precision.
SVD	Computes the singular value decomposition of a rank-2 or rank-3 array, .
SVIBN	Sorts an integer array by nondecreasing absolute value.
SVIGN	Sorts an integer array by algebraically increasing value.
SVIGP	Sorts an integer array by algebraically increasing value and returns the permutation that rearranges the array.
SVRBN	Sorts a real array by nondecreasing absolute value.
SVRBP	Sorts a real array by nondecreasing absolute value and returns the permutation that rearranges the array.
SVRGN	Sorts a real array by algebraically increasing value.
SVRGP	Sorts a real array by algebraically increasing value and returns the permutation that rearranges the array.
SXYZ	Computes a single-precision xyz product.