lange - lange: general matrix

Generated automatically by Doxygen for LAPACK from the source code. Version 3.12.0 Thu Aug 7 2025 17:26:25 lange(3)

realfunctionclange(characternorm,integerm,integern,complex,dimension(lda,*)a,integerlda,real,dimension(*)work)CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. Purpose: CLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex matrix A. Returns CLANGE CLANGE = ( 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. ParametersNORM NORM is CHARACTER*1 Specifies the value to be returned in CLANGE as described above. M M is INTEGER The number of rows of the matrix A. M >= 0. When M = 0, CLANGE is set to zero. N N is INTEGER The number of columns of the matrix A. N >= 0. When N = 0, CLANGE is set to zero. A A is COMPLEX array, dimension (LDA,N) The m by n matrix A. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(M,1). 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. doubleprecisionfunctiondlange(characternorm,integerm,integern,doubleprecision,dimension(lda,*)a,integerlda,doubleprecision,dimension(*)work)DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. Purpose: DLANGE 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 DLANGE DLANGE = ( 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. ParametersNORM NORM is CHARACTER*1 Specifies the value to be returned in DLANGE as described above. M M is INTEGER The number of rows of the matrix A. M >= 0. When M = 0, DLANGE is set to zero. N N is INTEGER The number of columns of the matrix A. N >= 0. When N = 0, DLANGE is set to zero. A A is DOUBLE PRECISION array, dimension (LDA,N) The m by n matrix A. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(M,1). WORK WORK is DOUBLE PRECISION 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. realfunctionslange(characternorm,integerm,integern,real,dimension(lda,*)a,integerlda,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. 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. ParametersNORM NORM is CHARACTER*1 Specifies the value to be returned in SLANGE as described above. M M is INTEGER The number of rows of the matrix A. M >= 0. When M = 0, SLANGE is set to zero. N N is INTEGER The number of columns of the matrix A. N >= 0. When N = 0, SLANGE is set to zero. A A is REAL array, dimension (LDA,N) The m by n matrix A. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(M,1). 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. doubleprecisionfunctionzlange(characternorm,integerm,integern,complex*16,dimension(lda,*)a,integerlda,doubleprecision,dimension(*)work)ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. Purpose: ZLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex matrix A. Returns ZLANGE ZLANGE = ( 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. ParametersNORM NORM is CHARACTER*1 Specifies the value to be returned in ZLANGE as described above. M M is INTEGER The number of rows of the matrix A. M >= 0. When M = 0, ZLANGE is set to zero. N N is INTEGER The number of columns of the matrix A. N >= 0. When N = 0, ZLANGE is set to zero. A A is COMPLEX*16 array, dimension (LDA,N) The m by n matrix A. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(M,1). WORK WORK is DOUBLE PRECISION 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.

lange - lange: general matrix

Functions real function clange (norm, m, n, a, lda, work) CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. double precision function dlange (norm, m, n, a, lda, work) DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix. real function slange (norm, m, n, a, lda, 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. double precision function zlange (norm, m, n, a, lda, work) ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.