SRC/dsytrf_aa.f(3)

🌸 NAME

SRC/dsytrf_aa.f — okay bestie, this is the SRC/dsytrf_aa.f(3) page from the Library Functions Manual, and it's all about the DSYTRF_AA subroutine. It’s giving linear algebra main character energy. 💅

💅 SYNOPSIS

🔥 Functions/Subroutines

       subroutine dsytrf_aa (uplo, n, a, lda, ipiv, work, lwork, info)
           DSYTRF_AA

🛠️ Function/Subroutine Documentation

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

🎀 Purpose

Okay so DSYTRF_AA computes the factorization of a real symmetric matrix A using the Aasen's algorithm. The form of the factorization is:

A = U**T*T*U  or  A = L*T*L**T

where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and T is a symmetric tridiagonal matrix.

This is the blocked version of the algorithm, calling Level 3 BLAS. Slay. 🔥

🦋 Parameters

• UPLO — UPLO is CHARACTER*1. = 'U': upper triangle of A is stored; = 'L': lower triangle of A is stored.
• N — N is INTEGER. The order of the matrix A. N >= 0.
• A — A is DOUBLE PRECISION array, dimension (LDA,N). On entry, the symmetric 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. On exit, the tridiagonal matrix is stored in the diagonals and the subdiagonals of A just below (or above) the diagonals, and L is stored below (or above) the subdiagonals, when UPLO is 'L' (or 'U').
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). On exit, it contains the details of the interchanges, i.e., the row and column k of A were interchanged with the row and column IPIV(k).
• WORK — WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)). On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
• LWORK — LWORK is INTEGER. The length of WORK. LWORK >= 1, if N <= 1, and LWORK >= 2*N, otherwise. For optimum performance LWORK >= N*(1+NB), where NB is the optimal blocksize, returned by ILAENV. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.
• 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 133 of file dsytrf_aa.f.

🤖 Author

Generated automatically by Doxygen for LAPACK from the source code.

Big sparkly sign-off: LAPACK Version 3.12.0, page SRC/dsytrf_aa.f(3) — that’s the source/version footer, bestie. Bye! 💖✨