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## slange()

real function slange | ( | character | norm,
|  | integer | m,
|  | integer | n,
|  | real, dimension( lda, * ) | a,
|  | integer | lda,
|  | real, dimension( * ) | work )

SLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Download SLANGE + dependencies [TGZ] [ZIP] [TXT]

Purpose:

      !>
      !> SLANGE  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 matrix A.
      !>

Returns
  SLANGE

      !>
      !>    SLANGE = ( 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.
      !>

Parameters

  [in]

  NORM

      !>          NORM is CHARACTER*1
      !>          Specifies the value to be returned in SLANGE as described
      !>          above.
      !>

  [in]

  M

      !>          M is INTEGER
      !>          The number of rows of the matrix A.  M >= 0.  When M = 0,
      !>          SLANGE is set to zero.
      !>

  [in]

  N

      !>          N is INTEGER
      !>          The number of columns of the matrix A.  N >= 0.  When N = 0,
      !>          SLANGE is set to zero.
      !>

  [in]

  A

      !>          A is REAL array, dimension (LDA,N)
      !>          The m by n matrix A.
      !>

  [in]

  LDA

      !>          LDA is INTEGER
      !>          The leading dimension of the array A.  LDA >= max(M,1).
      !>

  [out]

  WORK

      !>          WORK is REAL array, dimension (MAX(1,LWORK)),
      !>          where LWORK >= M when NORM = 'I'; otherwise, WORK is not
      !>          referenced.
      !>

Author
  Univ. of Tennessee
  Univ. of California Berkeley
  Univ. of Colorado Denver
  NAG Ltd.