table of contents
| gesc2(3) | LAPACK | gesc2(3) |
NAME¶
gesc2 - gesc2: triangular solve using factor, with complete pivoting
SYNOPSIS¶
Functions¶
subroutine cgesc2 (n, a, lda, rhs, ipiv, jpiv, scale)
CGESC2 solves a system of linear equations using the LU factorization
with complete pivoting computed by sgetc2. subroutine dgesc2 (n, a,
lda, rhs, ipiv, jpiv, scale)
DGESC2 solves a system of linear equations using the LU factorization
with complete pivoting computed by sgetc2. subroutine sgesc2 (n, a,
lda, rhs, ipiv, jpiv, scale)
SGESC2 solves a system of linear equations using the LU factorization
with complete pivoting computed by sgetc2. subroutine zgesc2 (n, a,
lda, rhs, ipiv, jpiv, scale)
ZGESC2 solves a system of linear equations using the LU factorization
with complete pivoting computed by sgetc2.
Detailed Description¶
Function Documentation¶
subroutine cgesc2 (integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, real scale)¶
CGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.
Purpose:
CGESC2 solves a system of linear equations
A * X = scale* RHS
with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by CGETC2.
Parameters
N is INTEGER
The number of columns of the matrix A.
A
A is COMPLEX array, dimension (LDA, N)
On entry, the LU part of the factorization of the n-by-n
matrix A computed by CGETC2: A = P * L * U * Q
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1, N).
RHS
RHS is COMPLEX array, dimension N.
On entry, the right hand side vector b.
On exit, the solution vector X.
IPIV
IPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i).
JPIV
JPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= j <= N, column j of the
matrix has been interchanged with column JPIV(j).
SCALE
SCALE is REAL
On exit, SCALE contains the scale factor. SCALE is chosen
0 <= SCALE <= 1 to prevent overflow in the solution.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Contributors:
subroutine dgesc2 (integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, double precision scale)¶
DGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.
Purpose:
DGESC2 solves a system of linear equations
A * X = scale* RHS
with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by DGETC2.
Parameters
N is INTEGER
The order of the matrix A.
A
A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, the LU part of the factorization of the n-by-n
matrix A computed by DGETC2: A = P * L * U * Q
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1, N).
RHS
RHS is DOUBLE PRECISION array, dimension (N).
On entry, the right hand side vector b.
On exit, the solution vector X.
IPIV
IPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i).
JPIV
JPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= j <= N, column j of the
matrix has been interchanged with column JPIV(j).
SCALE
SCALE is DOUBLE PRECISION
On exit, SCALE contains the scale factor. SCALE is chosen
0 <= SCALE <= 1 to prevent overflow in the solution.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Contributors:
subroutine sgesc2 (integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, real scale)¶
SGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.
Purpose:
SGESC2 solves a system of linear equations
A * X = scale* RHS
with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by SGETC2.
Parameters
N is INTEGER
The order of the matrix A.
A
A is REAL array, dimension (LDA,N)
On entry, the LU part of the factorization of the n-by-n
matrix A computed by SGETC2: A = P * L * U * Q
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1, N).
RHS
RHS is REAL array, dimension (N).
On entry, the right hand side vector b.
On exit, the solution vector X.
IPIV
IPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i).
JPIV
JPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= j <= N, column j of the
matrix has been interchanged with column JPIV(j).
SCALE
SCALE is REAL
On exit, SCALE contains the scale factor. SCALE is chosen
0 <= SCALE <= 1 to prevent overflow in the solution.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Contributors:
subroutine zgesc2 (integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) rhs, integer, dimension( * ) ipiv, integer, dimension( * ) jpiv, double precision scale)¶
ZGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2.
Purpose:
ZGESC2 solves a system of linear equations
A * X = scale* RHS
with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by ZGETC2.
Parameters
N is INTEGER
The number of columns of the matrix A.
A
A is COMPLEX*16 array, dimension (LDA, N)
On entry, the LU part of the factorization of the n-by-n
matrix A computed by ZGETC2: A = P * L * U * Q
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1, N).
RHS
RHS is COMPLEX*16 array, dimension N.
On entry, the right hand side vector b.
On exit, the solution vector X.
IPIV
IPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i).
JPIV
JPIV is INTEGER array, dimension (N).
The pivot indices; for 1 <= j <= N, column j of the
matrix has been interchanged with column JPIV(j).
SCALE
SCALE is DOUBLE PRECISION
On exit, SCALE contains the scale factor. SCALE is chosen
0 <= SCALE <= 1 to prevent overflow in the solution.
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Contributors:
Author¶
Generated automatically by Doxygen for LAPACK from the source code.
| Wed Feb 7 2024 11:30:40 | Version 3.12.0 |