Provided by: liblapack-doc_3.3.1-1_all

#### NAME

```       LAPACK-3 - returns the value of the one norm, or the Frobenius norm, or the infinity norm,
or the element of largest absolute value of a real symmetric matrix A, supplied in  packed
form

```

#### SYNOPSIS

```       REAL FUNCTION SLANSP( NORM, UPLO, N, AP, WORK )

CHARACTER NORM, UPLO

INTEGER   N

REAL      AP( * ), WORK( * )

```

#### PURPOSE

```       SLANSP   returns the value of the one norm,  or the Frobenius norm, or the  infinity norm,
or the  element of  largest absolute value  of a real symmetric  matrix  A,   supplied  in
packed form.

```

#### DESCRIPTION

```        SLANSP returns the value
SLANSP = ( max(abs(A(i,j))), NORM = 'M' or 'm'
(
( norm1(A),         NORM = '1', 'O' or 'o'
(
( normI(A),         NORM = 'I' or 'i'
(
( normF(A),         NORM = 'F', 'f', 'E' or 'e'
where  norm1  denotes the  one norm of a matrix (maximum column sum),
normI  denotes the  infinity norm  of a matrix  (maximum row sum) and
normF  denotes the  Frobenius norm of a matrix (square root of sum of
squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.

```

#### ARGUMENTS

```        NORM    (input) CHARACTER*1
Specifies the value to be returned in SLANSP as described
above.

UPLO    (input) CHARACTER*1
Specifies whether the upper or lower triangular part of the
symmetric matrix A is supplied.
= 'U':  Upper triangular part of A is supplied
= 'L':  Lower triangular part of A is supplied

N       (input) INTEGER
The order of the matrix A.  N >= 0.  When N = 0, SLANSP is
set to zero.

AP      (input) REAL array, dimension (N*(N+1)/2)
The upper or lower triangle of the symmetric matrix A, packed
columnwise in a linear array.  The j-th column of A is stored
in the array AP as follows:
if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

WORK    (workspace) REAL array, dimension (MAX(1,LWORK)),
where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
WORK is not referenced.

LAPACK auxiliary routine (version 3.2)     April 2011                            SLANSP(3lapack)
```