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---
:name: clantr
:md5sum: 2952a019c52f6bc7681a557329258545
:category: :function
:type: real
:arguments:
- norm:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- diag:
:type: char
:intent: input
- m:
:type: integer
:intent: input
- n:
:type: integer
:intent: input
- a:
:type: complex
:intent: input
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- work:
:type: real
:intent: workspace
:dims:
- MAX(1,lwork)
:substitutions:
lwork: "lsame_(&norm,\"I\") ? m : 0"
:fortran_help: " REAL FUNCTION CLANTR( NORM, UPLO, DIAG, M, N, A, LDA, WORK )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CLANTR returns the value of the one norm, or the Frobenius norm, or\n\
* the infinity norm, or the element of largest absolute value of a\n\
* trapezoidal or triangular matrix A.\n\
*\n\
* Description\n\
* ===========\n\
*\n\
* CLANTR returns the value\n\
*\n\
* CLANTR = ( max(abs(A(i,j))), NORM = 'M' or 'm'\n\
* (\n\
* ( norm1(A), NORM = '1', 'O' or 'o'\n\
* (\n\
* ( normI(A), NORM = 'I' or 'i'\n\
* (\n\
* ( normF(A), NORM = 'F', 'f', 'E' or 'e'\n\
*\n\
* where norm1 denotes the one norm of a matrix (maximum column sum),\n\
* normI denotes the infinity norm of a matrix (maximum row sum) and\n\
* normF denotes the Frobenius norm of a matrix (square root of sum of\n\
* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* NORM (input) CHARACTER*1\n\
* Specifies the value to be returned in CLANTR as described\n\
* above.\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* Specifies whether the matrix A is upper or lower trapezoidal.\n\
* = 'U': Upper trapezoidal\n\
* = 'L': Lower trapezoidal\n\
* Note that A is triangular instead of trapezoidal if M = N.\n\
*\n\
* DIAG (input) CHARACTER*1\n\
* Specifies whether or not the matrix A has unit diagonal.\n\
* = 'N': Non-unit diagonal\n\
* = 'U': Unit diagonal\n\
*\n\
* M (input) INTEGER\n\
* The number of rows of the matrix A. M >= 0, and if\n\
* UPLO = 'U', M <= N. When M = 0, CLANTR is set to zero.\n\
*\n\
* N (input) INTEGER\n\
* The number of columns of the matrix A. N >= 0, and if\n\
* UPLO = 'L', N <= M. When N = 0, CLANTR is set to zero.\n\
*\n\
* A (input) COMPLEX array, dimension (LDA,N)\n\
* The trapezoidal matrix A (A is triangular if M = N).\n\
* If UPLO = 'U', the leading m by n upper trapezoidal part of\n\
* the array A contains the upper trapezoidal matrix, and the\n\
* strictly lower triangular part of A is not referenced.\n\
* If UPLO = 'L', the leading m by n lower trapezoidal part of\n\
* the array A contains the lower trapezoidal matrix, and the\n\
* strictly upper triangular part of A is not referenced. Note\n\
* that when DIAG = 'U', the diagonal elements of A are not\n\
* referenced and are assumed to be one.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(M,1).\n\
*\n\
* WORK (workspace) REAL array, dimension (MAX(1,LWORK)),\n\
* where LWORK >= M when NORM = 'I'; otherwise, WORK is not\n\
* referenced.\n\
*\n\n\
* =====================================================================\n\
*\n"
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