External module "index"

sum of the magnitudes of elements of a real vector res = \sum_i=0^n{|x_i|}

vector-vector operation defined as y := a * x + y

vector-vector operation defined as y = x

vector-vector reduction operation defined as res = \sum_i=0^n{x_i * y_i}

matrix-vector operation defined as y := alpha * A * x + beta * y or y := alpha * A' * x + beta * y where A is a general band matrix with kl sub-diagonals and ku super-diagonals

computes a scalar-matrix-matrix product and adds the result to a scalar-matrix product defined as C := alpha * op(A) * op(B) + beta * C

matrix-vector operation defined as y := alpha * A * x + beta * y or y := alpha * A' * x + beta * y where A is a general matrix

matrix-vector operation defined as A := alpha * x * y' + A where A is a general matrix

vector reduction operation defined as res = ||x||

rotation of points in the plane

computes the parameters for a Givens rotation

performs modified Givens rotation of points in the plane

computes the parameters for a modified Givens rotation.

matrix-vector operation defined as y := alpha * A * x + beta * y where A is a symmetric band matrix with k super-diagonals

vector operation defined as x = a * x

matrix-vector operation defined as y := alpha * A * x + beta * y or y := alpha * A' * x + beta * y where A is a symmetric matrix, supplied in packed form

matrix-vector operation defined as A := alpha * x * x' + A where A is a symmetric matrix, supplied in packed form

matrix-vector operation defined as A := alpha * x * y' + alpha * y * x' + A where A is a symmetric matrix, supplied in packed form

given two vectors x and y, the vectors y and x swapped, each replacing the other.

computes a scalar-matrix-matrix product with one symmetric matrix and adds the result to a scalar-matrix product defined as C := alpha * A * B + beta * C or C := alpha * B * A + beta * C where A is a symmetric matrix

matrix-vector operation defined as y := alpha * A * x + beta * y where A is a symmetric matrix

matrix-vector operation defined as A := alpha * x * x' + A where A is a symmetric matrix

matrix-vector operation defined as A := alpha * x * y' + alpha * y * x' + A where A is a symmetric matrix

perform a rank-2k matrix-matrix operation for a symmetric matrix C using general matrices A and B defined as C := alpha * A * B' + alpha * B * A' + beta * C or C := alpha * A' * B + alpha * B' * A + beta * C where C is a symmetric matrix

performs a rank-k matrix-matrix operation for a symmetric matrix C using a general matrix A defined as C := alpha * A * A' + beta * C or C := alpha * A' * A + beta * C where C is a symmetric matrix

matrix-vector operation defined as x := A * x or x := A' * x where A is a unit or non-unit upper or lower triangular band matrix, with k + 1 diagonals

solves one of the following systems of equations A * x = b or A' * x = b where A is a unit or non-unit upper or lower triangular band matrix, with k + 1 diagonals

matrix-vector operation defined as x := A * x or x := A' * x where A is a unit or non-unit upper or lower triangular matrix, supplied in packed form

solves one of the following systems of equations A * x = b or A' * x = b where A is a unit or non-unit upper or lower triangular matrix, supplied in packed form

computes a scalar-matrix-matrix product with one triangular matrix defined as B := alpha * op(A) * B or B := alpha * B * op(A) where A is a unit or non-unit upper or lower triangular matrix

matrix-vector operation defined as x := A * x or x := A' * x where A is a unit or non-unit upper or lower triangular matrix

solves one of the following matrix equations op(A) * X = alpha * B or X * op(A) = alpha * B where A is a unit or non-unit upper or lower triangular matrix

solves one of the following systems of equations A * x = b or A' * x = b where A is a unit or non-unit upper or lower triangular matrix

finds the index of the element with maximum absolute value.