DSYTRI(3)

💖 NAME 💖

Okay so the NAME field here is literally a whole path, bestie — no summary, just the source file:

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

This page is DSYTRI(3), and we’re in the Library Functions Manual — manual name folded in right at the top, as requested 💅✨

✨ SYNOPSIS ✨

🧚 Functions/Subroutines

• subroutine DSYTRI (uplo, n, a, lda, ipiv, work, info) — DSYTRI

🌸 Function/Subroutine Documentation 🌸

🎀 subroutine DSYTRI

subroutine DSYTRI (character uplo, integer n, double precision, dimension(
     lda, * ) a, integer lda, integer, dimension( * ) ipiv, double precision,
     dimension( * ) work, integer info)

DSYTRI

💅 Purpose

DSYTRI computes the inverse of a real symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by DSYTRF. 🔥

🌈 Parameters

UPLO — CHARACTER*1

• Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.
• = 'U': Upper triangular, form is A = U*D*U**T;
• = 'L': Lower triangular, form is A = L*D*L**T.

N — INTEGER

• The order of the matrix A. N >= 0.

A — DOUBLE PRECISION array, dimension (LDA,N)

• On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by DSYTRF.
• On exit, if INFO = 0, the (symmetric) inverse of the original matrix. If UPLO = 'U', the upper triangular part of the inverse is formed and the part of A below the diagonal is not referenced; if UPLO = 'L' the lower triangular part of the inverse is formed and the part of A above the diagonal is not referenced.

LDA — INTEGER

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

IPIV — INTEGER array, dimension (N)

• Details of the interchanges and the block structure of D as determined by DSYTRF.

WORK — DOUBLE PRECISION array, dimension (N)

INFO — INTEGER

• = 0: successful exit
• < 0: if INFO = -i, the i-th argument had an illegal value
• > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.

👑 Author

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

Definition at line 113 of file dsytri.f.

💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code.

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Cute sign-off time: that’s LAPACK Version 3.12.0, footer path /home/abui...RC/dsytri.f(3) — and the date? Not listed in this footer, so no invented date, bestie. 🫶✨