ZLAVHE(3)

okay bestie, welcome to the Library Functions Manual — the header title is zlavhe.f(3) and the header path vibe is /home/abui...IN/zlavhe.f(3). This page is all about ZLAVHE, and ngl it's giving main character energy. 🦋💅

🌸 NAME 🌸

The NAME line is a whole journey, bestie: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zlavhe.f 🎀

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

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

💅 Function/Subroutine Documentation 💅

🎀 subroutine ZLAVHE 🎀

subroutine ZLAVHE (character uplo, character trans, character diag, integer
       n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda,
       integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer
       ldb, integer info)

ZLAVHE

🎯 Purpose 🎯

okay so ZLAVHE performs one of the matrix-vector operations

x := A*x  or  x := A^H*x,

where x is an N element vector and A is one of the factors from the block U*D*U' or L*D*L' factorization computed by ZHETRF. periodt.

• If TRANS = 'N', multiplies by U or U * D (or L or L * D) ✨
• If TRANS = 'C', multiplies by U' or D * U' (or L' or D * L') 💫

vibe check: this is the factorization tea, and the conditions are literally the whole plot. 🫶

🌸 Parameters 🌸

• UPLO — is CHARACTER*1; specifies whether the factor stored in A is upper or lower triangular. = 'U': Upper triangular. = 'L': Lower triangular. 💅
• TRANS — is CHARACTER*1; specifies the operation to be performed: = 'N': x := A*x; = 'C': x := A'*x. ⭐
• DIAG — is CHARACTER*1; specifies whether or not the diagonal blocks are unit matrices. If the diagonal blocks are assumed to be unit, then A = U or A = L, otherwise A = U*D or A = L*D. = 'U': Diagonal blocks are assumed to be unit matrices. = 'N': Diagonal blocks are assumed to be non-unit matrices. 🎀
• N — is INTEGER; the number of rows and columns of the matrix A. N >= 0. 🌈
• NRHS — is INTEGER; the number of right hand sides, i.e., the number of vectors x to be multiplied by A. NRHS >= 0. 🦋
• A — is COMPLEX*16 array, dimension (LDA,N); the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHETRF. Stored as a 2-D triangular matrix. 👑
• LDA — is INTEGER; the leading dimension of the array A. LDA >= max(1,N). ✨
• IPIV — is INTEGER array, dimension (N); details of the interchanges and the block structure of D, as determined by ZHETRF. iykyk 👀
  • If UPLO = 'U':
    • If IPIV(k) > 0, then rows and columns k and IPIV(k) were interchanged and D(k,k) is a 1-by-1 diagonal block. (If IPIV( k ) = k, no interchange was done).
    • If IPIV(k) = IPIV(k-1) < 0, then rows and columns k-1 and -IPIV(k) were interchanged, D(k-1:k,k-1:k) is a 2-by-2 diagonal block.
  • If UPLO = 'L':
    • If IPIV(k) > 0, then rows and columns k and IPIV(k) were interchanged and D(k,k) is a 1-by-1 diagonal block. (If IPIV( k ) = k, no interchange was done).
    • If IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and -IPIV(k) were interchanged, D(k:k+1,k:k+1) is a 2-by-2 diagonal block.
• B — is COMPLEX*16 array, dimension (LDB,NRHS); on entry, B contains NRHS vectors of length N. On exit, B is overwritten with the product A * B. 💖
• LDB — is INTEGER; the leading dimension of the array B. LDB >= max(1,N). 🫶
• INFO — is INTEGER; = 0: successful exit. < 0: if INFO = -k, the k-th argument had an illegal value. not INFO catching you lacking 💀

👑 Author 👑

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

Definition at line 151 of file zlavhe.f. 🎀

💖 Author 💖

Generated automatically by Doxygen for LAPACK from the source code. 🧚

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okay that’s the whole page, bestie. Cute sign-off time: source/version + footer date/path field are LAPACK, Version 3.12.0, and /home/abui...IN/zlavhe.f(3) — slay, bye! 💅✨🌸