ZTBTRS(3)

💖 NAME 💖

This is the ZTBTRS(3) page from the Library Functions Manual, and the file it’s documenting is literally:

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

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✨ SYNOPSIS ✨

Functions/Subroutines

subroutine ZTBTRS (uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb,
    info)

ZTBTRS

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🌸 Function/Subroutine Documentation 🌸

subroutine ZTBTRS (character uplo, character trans, character diag, integer
    n, integer kd, integer nrhs, complex*16, dimension( ldab, * ) ab,
    integer ldab, complex*16, dimension( ldb, * ) b, integer ldb, integer
    info)

ZTBTRS

🎀 Purpose 🎀

!>
!> ZTBTRS solves a triangular system of the form
!>
!>    A * X = B,  A**T * X = B,  or  A**H * X = B,
!>
!> where A is a triangular band matrix of order N, and B is an
!> N-by-NRHS matrix.  A check is made to verify that A is nonsingular.
!>

🦋 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.
• KD — KD is INTEGER; the number of superdiagonals or subdiagonals of the triangular band matrix A. KD >= 0.
• NRHS — NRHS is INTEGER; the number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• AB — AB is COMPLEX*16 array, dimension (LDAB,N); the upper or lower triangular band matrix A, stored in the first kd+1 rows of AB. The j-th column of A is stored in the j-th column of the array AB as follows: if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). If DIAG = 'U', the diagonal elements of A are not referenced and are assumed to be 1.
• LDAB — LDAB is INTEGER; the leading dimension of the array AB. LDAB >= KD+1.
• B — B is COMPLEX*16 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 144 of file ztbtrs.f. 📍

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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💖 That’s the whole page, bestie — source/version: LAPACK, Version 3.12.0, and the footer’s date/path field is /home/abui...RC/ztbtrs.f(3). Byeeeee 🫶