?lange

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

?lange

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

Syntax

floatLAPACKE_slange ( intmatrix_layout , charnorm , lapack_intm , lapack_intn , constfloat*a , lapack_intlda );

doubleLAPACKE_dlange ( intmatrix_layout , charnorm , lapack_intm , lapack_intn , constdouble*a , lapack_intlda );

floatLAPACKE_clange ( intmatrix_layout , charnorm , lapack_intm , lapack_intn , constlapack_complex_float*a , lapack_intlda );

doubleLAPACKE_zlange ( intmatrix_layout , charnorm , lapack_intm , lapack_intn , constlapack_complex_double*a , lapack_intlda );

Include Files

mkl.h

Description

slange dlange clange zlange

The function ?lange returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real/complex matrix A .

Input Parameters

A <datatype> placeholder, if present, is used for the C interface data types in the C interface section above. See C Interface Conventions for the C interface principal conventions and type definitions.

norm

Specifies the value to be returned by the routine:

= ‘M’ or ‘m’: val = max(abs(A_{ij})) , largest absolute value of the matrix A . = ‘1’ or ‘O’ or ‘o’: val = norm1(A) , 1-norm of the matrix A (maximum column sum), = ‘I’ or ‘i’: val = normI(A) , infinity norm of the matrix A (maximum row sum), = ‘F’ , ‘f’ , ‘E’ or ‘e’: val = normF(A) , Frobenius norm of the matrix A (square root of sum of squares).

m

The number of rows of the matrix A .

m≥ 0 . When m = 0 , ?lange is set to zero.

n

The number of columns of the matrix A .

n≥ 0 . When n = 0 , ?lange is set to zero.

a

REAL for slange DOUBLE PRECISION for dlange COMPLEX for clange DOUBLE COMPLEX for zlange Array, DIMENSION ( lda , n ).

Array, size at least max(1, lda*n) for column major and max(1, lda*m) for row major layout. Array a contains the m -by- n matrix A .

lda

The leading dimension of the array a .

lda≥ max(n,1) for column major layout and max(1, n ) for row major layout .

work: REAL for slange and clange . DOUBLE PRECISION for dlange and zlange . Workspace array, DIMENSION max(1,lwork) , where lwork≥m when norm = 'I' ; otherwise, work is not referenced.

Output Parameters

val: REAL for slange / clange DOUBLE PRECISION for dlange / zlange Value returned by the function.

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Developer Reference for Intel® oneAPI Math Kernel Library for C

?lange

Syntax

Include Files

Description

Input Parameters

Output Parameters