.TH "syconvf" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME syconvf \- syconvf: convert to/from hetrf to hetrf_rk format .SH SYNOPSIS .br .PP .SS "Functions" .in +1c .ti -1c .RI "subroutine \fBcsyconvf\fP (uplo, way, n, a, lda, e, ipiv, info)" .br .RI "\fBCSYCONVF\fP " .ti -1c .RI "subroutine \fBdsyconvf\fP (uplo, way, n, a, lda, e, ipiv, info)" .br .RI "\fBDSYCONVF\fP " .ti -1c .RI "subroutine \fBssyconvf\fP (uplo, way, n, a, lda, e, ipiv, info)" .br .RI "\fBSSYCONVF\fP " .ti -1c .RI "subroutine \fBzsyconvf\fP (uplo, way, n, a, lda, e, ipiv, info)" .br .RI "\fBZSYCONVF\fP " .in -1c .SH "Detailed Description" .PP .SH "Function Documentation" .PP .SS "subroutine csyconvf (character uplo, character way, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) e, integer, dimension( * ) ipiv, integer info)" .PP \fBCSYCONVF\fP .PP \fBPurpose:\fP .RS 4 .PP .nf If parameter WAY = 'C': CSYCONVF converts the factorization output format used in CSYTRF provided on entry in parameter A into the factorization output format used in CSYTRF_RK (or CSYTRF_BK) that is stored on exit in parameters A and E\&. It also converts in place details of the interchanges stored in IPIV from the format used in CSYTRF into the format used in CSYTRF_RK (or CSYTRF_BK)\&. If parameter WAY = 'R': CSYCONVF performs the conversion in reverse direction, i\&.e\&. converts the factorization output format used in CSYTRF_RK (or CSYTRF_BK) provided on entry in parameters A and E into the factorization output format used in CSYTRF that is stored on exit in parameter A\&. It also converts in place details of the interchanges stored in IPIV from the format used in CSYTRF_RK (or CSYTRF_BK) into the format used in CSYTRF\&. CSYCONVF can also convert in Hermitian matrix case, i\&.e\&. between formats used in CHETRF and CHETRF_RK (or CHETRF_BK)\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix A\&. = 'U': Upper triangular = 'L': Lower triangular .fi .PP .br \fIWAY\fP .PP .nf WAY is CHARACTER*1 = 'C': Convert = 'R': Revert .fi .PP .br \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX array, dimension (LDA,N) 1) If WAY ='C': On entry, contains factorization details in format used in CSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. On exit, contains factorization details in format used in CSYTRF_RK or CSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. 2) If WAY = 'R': On entry, contains factorization details in format used in CSYTRF_RK or CSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. On exit, contains factorization details in format used in CSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1,N)\&. .fi .PP .br \fIE\fP .PP .nf E is COMPLEX array, dimension (N) 1) If WAY ='C': On entry, just a workspace\&. On exit, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0\&. 2) If WAY = 'R': On entry, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced\&. On exit, is not changed .fi .PP .br \fIIPIV\fP .PP .nf IPIV is INTEGER array, dimension (N) 1) If WAY ='C': On entry, details of the interchanges and the block structure of D in the format used in CSYTRF\&. On exit, details of the interchanges and the block structure of D in the format used in CSYTRF_RK ( or CSYTRF_BK)\&. 1) If WAY ='R': On entry, details of the interchanges and the block structure of D in the format used in CSYTRF_RK ( or CSYTRF_BK)\&. On exit, details of the interchanges and the block structure of D in the format used in CSYTRF\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 .PP .nf November 2017, Igor Kozachenko, Computer Science Division, University of California, Berkeley .fi .PP .RE .PP .SS "subroutine dsyconvf (character uplo, character way, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) e, integer, dimension( * ) ipiv, integer info)" .PP \fBDSYCONVF\fP .PP \fBPurpose:\fP .RS 4 .PP .nf If parameter WAY = 'C': DSYCONVF converts the factorization output format used in DSYTRF provided on entry in parameter A into the factorization output format used in DSYTRF_RK (or DSYTRF_BK) that is stored on exit in parameters A and E\&. It also converts in place details of the interchanges stored in IPIV from the format used in DSYTRF into the format used in DSYTRF_RK (or DSYTRF_BK)\&. If parameter WAY = 'R': DSYCONVF performs the conversion in reverse direction, i\&.e\&. converts the factorization output format used in DSYTRF_RK (or DSYTRF_BK) provided on entry in parameters A and E into the factorization output format used in DSYTRF that is stored on exit in parameter A\&. It also converts in place details of the interchanges stored in IPIV from the format used in DSYTRF_RK (or DSYTRF_BK) into the format used in DSYTRF\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix A\&. = 'U': Upper triangular = 'L': Lower triangular .fi .PP .br \fIWAY\fP .PP .nf WAY is CHARACTER*1 = 'C': Convert = 'R': Revert .fi .PP .br \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is DOUBLE PRECISION array, dimension (LDA,N) 1) If WAY ='C': On entry, contains factorization details in format used in DSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. On exit, contains factorization details in format used in DSYTRF_RK or DSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. 2) If WAY = 'R': On entry, contains factorization details in format used in DSYTRF_RK or DSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. On exit, contains factorization details in format used in DSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1,N)\&. .fi .PP .br \fIE\fP .PP .nf E is DOUBLE PRECISION array, dimension (N) 1) If WAY ='C': On entry, just a workspace\&. On exit, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0\&. 2) If WAY = 'R': On entry, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced\&. On exit, is not changed .fi .PP .br \fIIPIV\fP .PP .nf IPIV is INTEGER array, dimension (N) 1) If WAY ='C': On entry, details of the interchanges and the block structure of D in the format used in DSYTRF\&. On exit, details of the interchanges and the block structure of D in the format used in DSYTRF_RK ( or DSYTRF_BK)\&. 1) If WAY ='R': On entry, details of the interchanges and the block structure of D in the format used in DSYTRF_RK ( or DSYTRF_BK)\&. On exit, details of the interchanges and the block structure of D in the format used in DSYTRF\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 .PP .nf November 2017, Igor Kozachenko, Computer Science Division, University of California, Berkeley .fi .PP .RE .PP .SS "subroutine ssyconvf (character uplo, character way, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) e, integer, dimension( * ) ipiv, integer info)" .PP \fBSSYCONVF\fP .PP \fBPurpose:\fP .RS 4 .PP .nf If parameter WAY = 'C': SSYCONVF converts the factorization output format used in SSYTRF provided on entry in parameter A into the factorization output format used in SSYTRF_RK (or SSYTRF_BK) that is stored on exit in parameters A and E\&. It also converts in place details of the interchanges stored in IPIV from the format used in SSYTRF into the format used in SSYTRF_RK (or SSYTRF_BK)\&. If parameter WAY = 'R': SSYCONVF performs the conversion in reverse direction, i\&.e\&. converts the factorization output format used in SSYTRF_RK (or SSYTRF_BK) provided on entry in parameters A and E into the factorization output format used in SSYTRF that is stored on exit in parameter A\&. It also converts in place details of the interchanges stored in IPIV from the format used in SSYTRF_RK (or SSYTRF_BK) into the format used in SSYTRF\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix A\&. = 'U': Upper triangular = 'L': Lower triangular .fi .PP .br \fIWAY\fP .PP .nf WAY is CHARACTER*1 = 'C': Convert = 'R': Revert .fi .PP .br \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is REAL array, dimension (LDA,N) 1) If WAY ='C': On entry, contains factorization details in format used in SSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. On exit, contains factorization details in format used in SSYTRF_RK or SSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. 2) If WAY = 'R': On entry, contains factorization details in format used in SSYTRF_RK or SSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. On exit, contains factorization details in format used in SSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1,N)\&. .fi .PP .br \fIE\fP .PP .nf E is REAL array, dimension (N) 1) If WAY ='C': On entry, just a workspace\&. On exit, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0\&. 2) If WAY = 'R': On entry, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced\&. On exit, is not changed .fi .PP .br \fIIPIV\fP .PP .nf IPIV is INTEGER array, dimension (N) 1) If WAY ='C': On entry, details of the interchanges and the block structure of D in the format used in SSYTRF\&. On exit, details of the interchanges and the block structure of D in the format used in SSYTRF_RK ( or SSYTRF_BK)\&. 1) If WAY ='R': On entry, details of the interchanges and the block structure of D in the format used in SSYTRF_RK ( or SSYTRF_BK)\&. On exit, details of the interchanges and the block structure of D in the format used in SSYTRF\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 .PP .nf November 2017, Igor Kozachenko, Computer Science Division, University of California, Berkeley .fi .PP .RE .PP .SS "subroutine zsyconvf (character uplo, character way, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) e, integer, dimension( * ) ipiv, integer info)" .PP \fBZSYCONVF\fP .PP \fBPurpose:\fP .RS 4 .PP .nf If parameter WAY = 'C': ZSYCONVF converts the factorization output format used in ZSYTRF provided on entry in parameter A into the factorization output format used in ZSYTRF_RK (or ZSYTRF_BK) that is stored on exit in parameters A and E\&. It also converts in place details of the interchanges stored in IPIV from the format used in ZSYTRF into the format used in ZSYTRF_RK (or ZSYTRF_BK)\&. If parameter WAY = 'R': ZSYCONVF performs the conversion in reverse direction, i\&.e\&. converts the factorization output format used in ZSYTRF_RK (or ZSYTRF_BK) provided on entry in parameters A and E into the factorization output format used in ZSYTRF that is stored on exit in parameter A\&. It also converts in place details of the interchanges stored in IPIV from the format used in ZSYTRF_RK (or ZSYTRF_BK) into the format used in ZSYTRF\&. ZSYCONVF can also convert in Hermitian matrix case, i\&.e\&. between formats used in ZHETRF and ZHETRF_RK (or ZHETRF_BK)\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix A\&. = 'U': Upper triangular = 'L': Lower triangular .fi .PP .br \fIWAY\fP .PP .nf WAY is CHARACTER*1 = 'C': Convert = 'R': Revert .fi .PP .br \fIN\fP .PP .nf N is INTEGER The order of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX*16 array, dimension (LDA,N) 1) If WAY ='C': On entry, contains factorization details in format used in ZSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. On exit, contains factorization details in format used in ZSYTRF_RK or ZSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. 2) If WAY = 'R': On entry, contains factorization details in format used in ZSYTRF_RK or ZSYTRF_BK: a) ONLY diagonal elements of the symmetric block diagonal matrix D on the diagonal of A, i\&.e\&. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D are stored on exit in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A\&. If UPLO = 'L': factor L in the subdiagonal part of A\&. On exit, contains factorization details in format used in ZSYTRF: a) all elements of the symmetric block diagonal matrix D on the diagonal of A and on superdiagonal (or subdiagonal) of A, and b) If UPLO = 'U': multipliers used to obtain factor U in the superdiagonal part of A\&. If UPLO = 'L': multipliers used to obtain factor L in the superdiagonal part of A\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1,N)\&. .fi .PP .br \fIE\fP .PP .nf E is COMPLEX*16 array, dimension (N) 1) If WAY ='C': On entry, just a workspace\&. On exit, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0\&. 2) If WAY = 'R': On entry, contains the superdiagonal (or subdiagonal) elements of the symmetric block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced\&. On exit, is not changed .fi .PP .br \fIIPIV\fP .PP .nf IPIV is INTEGER array, dimension (N) 1) If WAY ='C': On entry, details of the interchanges and the block structure of D in the format used in ZSYTRF\&. On exit, details of the interchanges and the block structure of D in the format used in ZSYTRF_RK ( or ZSYTRF_BK)\&. 1) If WAY ='R': On entry, details of the interchanges and the block structure of D in the format used in ZSYTRF_RK ( or ZSYTRF_BK)\&. On exit, details of the interchanges and the block structure of D in the format used in ZSYTRF\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBContributors:\fP .RS 4 .PP .nf November 2017, Igor Kozachenko, Computer Science Division, University of California, Berkeley .fi .PP .RE .PP .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.