trttp(3)

💖 trttp(3) — Library Functions Manual 💖

okay bestie, welcome to trttp(3) — the Library Functions Manual page that’s all about flipping a triangular matrix from full format (TR) into packed format (TP). Four routines, one job, zero gatekeeping. ✨

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🌸 NAME 🌸

trttp — trttp: triangular matrix, full (tr) to packed (tp)

✨ SYNOPSIS ✨

🫶 Functions 🫶

• subroutine ctrttp (uplo, n, a, lda, ap, info) — CTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).
• subroutine dtrttp (uplo, n, a, lda, ap, info) — DTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).
• subroutine strttp (uplo, n, a, lda, ap, info) — STRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).
• subroutine ztrttp (uplo, n, a, lda, ap, info) — ZTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

🦋 Detailed Description 🦋

No extra lore here, bestie — the real detail lives in the function docs right below. 💅

💅 Function Documentation 💅

🧚 ctrttp — complex full-to-packed 🧚

subroutine ctrttp (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) ap, integer info)

CTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

✨ Purpose ✨

CTRTTP copies a triangular matrix A from full format (TR) to standard packed format (TP). 🫶

🌸 Parameters 🌸

• UPLO — UPLO is CHARACTER*1
  • = 'U': A is upper triangular;
  • = 'L': A is lower triangular.
• N — N is INTEGER
  • The order of the matrices AP and A. N >= 0.
• A — A is COMPLEX array, dimension (LDA,N)
  • On entry, the triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
• LDA — LDA is INTEGER
  • The leading dimension of the array A. LDA >= max(1,N).
• AP — AP is COMPLEX array, dimension ( N*(N+1)/2 ),
  • On exit, the upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:

if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

• INFO — INFO is INTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

🎀 Author 🎀

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 103 of file ctrttp.f.

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🧚 dtrttp — double precision full-to-packed 🧚

subroutine dtrttp (character uplo, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) ap, integer info)

DTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

✨ Purpose ✨

DTRTTP copies a triangular matrix A from full format (TR) to standard packed format (TP). 🫶

🌸 Parameters 🌸

• UPLO — UPLO is CHARACTER*1
  • = 'U': A is upper triangular.
  • = 'L': A is lower triangular.
• N — N is INTEGER
  • The order of the matrices AP and A. N >= 0.
• A — A is DOUBLE PRECISION array, dimension (LDA,N)
  • On exit, the triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
• LDA — LDA is INTEGER
  • The leading dimension of the array A. LDA >= max(1,N).
• AP — AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
  • On exit, the upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:

if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

• INFO — INFO is INTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

🎀 Author 🎀

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 103 of file dtrttp.f.

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🧚 strttp — real full-to-packed 🧚

subroutine strttp (character uplo, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) ap, integer info)

STRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

✨ Purpose ✨

STRTTP copies a triangular matrix A from full format (TR) to standard packed format (TP). 🫶

🌸 Parameters 🌸

• UPLO — UPLO is CHARACTER*1
  • = 'U': A is upper triangular.
  • = 'L': A is lower triangular.
• N — N is INTEGER
  • The order of the matrices AP and A. N >= 0.
• A — A is REAL array, dimension (LDA,N)
  • On exit, the triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
• LDA — LDA is INTEGER
  • The leading dimension of the array A. LDA >= max(1,N).
• AP — AP is REAL array, dimension (N*(N+1)/2)
  • On exit, the upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:

if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

• INFO — INFO is INTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

🎀 Author 🎀

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 103 of file strttp.f.

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🧚 ztrttp — complex*16 full-to-packed 🧚

subroutine ztrttp (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) ap, integer info)

ZTRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP).

✨ Purpose ✨

ZTRTTP copies a triangular matrix A from full format (TR) to standard packed format (TP). 🫶

🌸 Parameters 🌸

• UPLO — UPLO is CHARACTER*1
  • = 'U': A is upper triangular;
  • = 'L': A is lower triangular.
• N — N is INTEGER
  • The order of the matrices AP and A. N >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,N)
  • On entry, the triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
• LDA — LDA is INTEGER
  • The leading dimension of the array A. LDA >= max(1,N).
• AP — AP is COMPLEX*16 array, dimension ( N*(N+1)/2 ),
  • On exit, the upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:

if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

• INFO — INFO is INTEGER
  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

🎀 Author 🎀

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 103 of file ztrttp.f.

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👑 Author 👑

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