SRC/dpbtrs.f(3)

✨ NAME ✨

SRC/dpbtrs.f — that's the name, bestie 💖 and this page lives in the Library Functions Manual. slay.

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🦋 SYNOPSIS 🦋

   Functions/Subroutines
       subroutine dpbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb, info)
           DPBTRS

💖 Function/Subroutine Documentation 💖

   subroutine dpbtrs (character uplo, integer n, integer kd, integer nrhs,
       double precision, dimension( ldab, * ) ab, integer ldab, double
       precision, dimension( ldb, * ) b, integer ldb, integer info)
       DPBTRS

🌈 Purpose 🌈

okay so DPBTRS solves a system of linear equations A*X = B with a symmetric positive definite band matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPBTRF. iconic linear algebra behavior, no cap 💅

🎀 Parameters 🎀

• UPLO — CHARACTER*1. = 'U': upper triangular factor stored in AB; = 'L': lower triangular factor stored in AB. choose your fighter 🫶
• N — INTEGER. The order of the matrix A. N >= 0.
• KD — INTEGER. The number of superdiagonals of the matrix A if UPLO = 'U', or the number of subdiagonals if UPLO = 'L'. KD >= 0.
• NRHS — INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• AB — DOUBLE PRECISION array, dimension (LDAB,N). The triangular factor U or L from the Cholesky factorization A = U**T*U or A = L*L**T of the band matrix A, stored in the first KD+1 rows of the array. The j-th column of U or L is stored in the j-th column of the array AB as follows:

if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j;
if UPLO ='L', AB(1+i-j,j)    = L(i,j) for j<=i<=min(n,j+kd).

• LDAB — INTEGER. The leading dimension of the array AB. LDAB >= KD+1.
• B — DOUBLE PRECISION array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X. glow-up moment ✨
• LDB — INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — 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 120 of file dpbtrs.f.

🌸 Author 🌸

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that's the whole page 💖 from LAPACK Version 3.12.0, page SRC/dpbtrs.f(3) — mwah 💋✨