ScaLAPACK Auxiliary Routines
Routine Name
| Data Types
| Description
|
|---|---|---|
c,z | Finds the index of the element whose real part
has maximum absolute value (similar to the Level 1 PBLAS
p?amax , but
using the absolute value to the real part).
| |
c,z | Finds the element with maximum real part
absolute value and its corresponding global index.
| |
sc,dz | Forms the 1-norm of a complex vector similar to
Level 1 PBLAS
p?asum , but
using the true absolute value.
| |
s,d,c,z | Computes an
LU
factorization of a general tridiagonal matrix with no pivoting. The routine is
called by
p?dbtrs .
| |
s,d,c,z | Computes an
LU
factorization of a general band matrix, using partial pivoting with row
interchanges. The routine is called by
p?dttrs .
| |
s,d,c,z | Reduces a general rectangular matrix to real
bidiagonal form by an orthogonal/unitary transformation (unblocked algorithm).
| |
s,d,c,z | Reduces a general matrix to upper Hessenberg
form by an orthogonal/unitary similarity transformation (unblocked algorithm).
| |
s,d,c,z | Computes an
LU
factorization of a general matrix, using partial pivoting with row interchanges
(local blocked algorithm).
| |
s,d,c,z | Reduces the first
nb rows
and columns of a general rectangular matrix A to real bidiagonal form by an
orthogonal/unitary transformation, and returns auxiliary matrices that are
needed to apply the transformation to the unreduced part of A.
| |
s,d,c,z | Estimates the 1-norm of a square matrix, using
the reverse communication for evaluating matrix-vector products.
| |
s,d,c,z | Moves the eigenvectors from where they are
computed to ScaLAPACK standard block cyclic array.
| |
s,d,c,z | Reduces the first
nb columns
of a general rectangular matrix A so that elements below the
k th | |
s,d,c,z | Returns the value of the 1-norm, Frobenius
norm, infinity-norm, or the largest absolute value of any element, of a general
rectangular matrix.
| |
s,d,c,z | Returns the value of the 1-norm, Frobenius
norm, infinity-norm, or the largest absolute value of any element, of an upper
Hessenberg matrix.
| |
s,d,c,z/c,z | Returns the value of the 1-norm, Frobenius
norm, infinity-norm, or the largest absolute value of any element of a real
symmetric or complex Hermitian matrix.
| |
s,d,c,z | Returns the value of the 1-norm, Frobenius
norm, infinity-norm, or the largest absolute value of any element, of a
triangular matrix.
| |
s,d,c,z | Applies a permutation matrix to a general
distributed matrix, resulting in row or column pivoting.
| |
s,d,c,z | Scales a general rectangular matrix, using row
and column scaling factors computed by
p?geequ .
| |
s,d | Computes the eigenvalues of a Hessenberg matrix and optionally returns the matrices from the Schur decomposition. | |
s,d | Sets a scalar multiple of the first column of the product of a 2-by-2 or 3-by-3 matrix and specified shifts. | |
s,d | Performs the orthogonal/unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). | |
s,d | Performs the orthogonal/unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). | |
s,d | Redistributes an array assuming that the input
array
bycol is
distributed across rows and that all process columns contain the same copy of
bycol .
| |
s,d | Redistributes an array assuming that the input
array
byrow is
distributed across columns and that all process rows contain the same copy of
byrow .
| |
s,d,c,z | Applies a block reflector or its
transpose/conjugate-transpose to a general rectangular matrix.
| |
s,d,c,z | Applies a block reflector or its
transpose/conjugate-transpose as returned by
p?tzrzf to a
general matrix.
| |
c,z | Applies (multiplies by) the conjugate transpose
of an elementary reflector as returned by
p?tzrzf to a
general matrix.
| |
s,d,c,z | Initializes the off-diagonal elements of a
matrix to
α and the
diagonal elements to
β .
| |
s,d | Looks for a small subdiagonal element from the
bottom of the matrix that it can safely set to zero.
| |
s,d,c,z | Reduces the first
nb rows
and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an
orthogonal/unitary similarity transformation.
| |
s,d,c,z | Reduces an upper trapezoidal matrix to upper
triangular form by means of orthogonal/unitary transformations.
| |