CTRTRS(3)

💅 CTRTRS(3) — Library Functions Manual 💅

okay so bestie, this is the manual page for CTRTRS ✨ the header says Library Functions Manual, and the NAME section is literally just the source path. No fluff, just vibes:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/ctrtrs.f

🎀 SYNOPSIS 🎀

Functions/Subroutines:

subroutine CTRTRS (uplo, trans, diag, n, nrhs, a, lda, b, ldb, info)
    CTRTRS

🌸 Function/Subroutine Documentation 🌸

Full signature, exactly as the page gives it:

subroutine CTRTRS (character uplo, character trans, character diag, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, * ) b, integer ldb, integer info)

CTRTRS

✨ Purpose ✨

CTRTRS solves a triangular system of the form:

A * X = B,  A**T * X = B,  or  A**H * X = B,

where A is a triangular matrix of order N, and B is an N-by-NRHS matrix. A check is made to verify that A is nonsingular. iconic behavior, honestly 💖

🎀 Parameters 🎀

UPLO

UPLO is CHARACTER*1

• = 'U': A is upper triangular;
• = 'L': A is lower triangular.

TRANS

TRANS is CHARACTER*1

Specifies the form of the system of equations:

• = 'N': A * X = B (No transpose)
• = 'T': A**T * X = B (Transpose)
• = 'C': A**H * X = B (Conjugate transpose)

DIAG

DIAG is CHARACTER*1

• = 'N': A is non-unit triangular;
• = 'U': A is unit triangular.

N

N is INTEGER

The order of the matrix A. N >= 0.

NRHS

NRHS is INTEGER

The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.

A

A is COMPLEX array, dimension (LDA,N)

The triangular matrix A. If UPLO = 'U', the leading N-by-N upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading N-by-N lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.

LDA

LDA is INTEGER

The leading dimension of the array A. LDA >= max(1,N).

B

B is COMPLEX array, dimension (LDB,NRHS)

On entry, the right hand side matrix B. On exit, if INFO = 0, the solution matrix X.

LDB

LDB is INTEGER

The leading dimension of the array B. LDB >= max(1,N).

INFO

INFO is INTEGER

• = 0: successful exit
• < 0: if INFO = -i, the i-th argument had an illegal value
• > 0: if INFO = i, the i-th diagonal element of A is zero, indicating that the matrix is singular and the solutions X have not been computed.

🌟 Author 🌟

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

Definition at line 138 of file ctrtrs.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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💖 cute sign-off: this page is from LAPACK, Version 3.12.0, and the footer path is /home/abui...RC/ctrtrs.f(3). Stay hydrated and nonsingular, bestie! 💅✨