ZTBT06(3)

hey bestie 💖 welcome to ZTBT06(3) from the Library Functions Manual — header tea: /home/abui...IN/ztbt06.f(3) is literally sitting on both sides of the manual name, because Unix said why not. no cap, let’s go.

👑 NAME 👑

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ztbt06.f — that’s the file this page is about. periodt 💅

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

       subroutine ZTBT06 (rcond, rcondc, uplo, diag, n, kd, ab, ldab, rwork,
           rat)
           ZTBT06

🌸 Function/Subroutine Documentation 🌸

   subroutine ZTBT06 (double precision rcond, double precision rcondc,
       character uplo, character diag, integer n, integer kd, complex*16,
       dimension( ldab, * ) ab, integer ldab, double precision, dimension( * )
       rwork, double precision rat)
       ZTBT06

🎀 Purpose 🎀

okay so ZTBT06 computes a test ratio comparing RCOND — the reciprocal condition number of a triangular matrix A — and RCONDC, the estimate computed by ZTBCON. Information about the triangular matrix A is used if one estimate is zero and the other is non-zero, to decide if underflow in the estimate is justified. highkey precise, lowkey dramatic 💖

🧵 Parameters 🧵

• RCOND — DOUBLE PRECISION. The estimate of the reciprocal condition number obtained by forming the explicit inverse of the matrix A and computing RCOND = 1/( norm(A) * norm(inv(A)) ). 💅
• RCONDC — DOUBLE PRECISION. The estimate of the reciprocal condition number computed by ZTBCON. ✨
• UPLO — CHARACTER. Specifies whether the matrix A is upper or lower triangular.
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• DIAG — CHARACTER. Specifies whether or not the matrix A is unit triangular.
  • = 'N': Non-unit triangular
  • = 'U': Unit triangular
• N — INTEGER. The order of the matrix A. N >= 0.
• KD — INTEGER. The number of superdiagonals or subdiagonals of the triangular band matrix A. KD >= 0.
• AB — COMPLEX*16 array, dimension (LDAB,N). The upper or lower triangular band matrix A, stored in the first kd+1 rows of the array. 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).
• LDAB — INTEGER. The leading dimension of the array AB. LDAB >= KD+1.
• RWORK — DOUBLE PRECISION array, dimension (N).
• RAT — DOUBLE PRECISION. The test ratio. If both RCOND and RCONDC are nonzero, RAT = MAX( RCOND, RCONDC )/MIN( RCOND, RCONDC ) - 1. If RAT = 0, the two estimates are exactly the same. 🎯

👑 Author 👑

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

Definition at line 124 of file ztbt06.f. 📌

🤖 Author (generated) 🤖

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

and that’s the page, bestie 🦋 — footer sign-off: LAPACK, Version 3.12.0, and the source path /home/abui...IN/ztbt06.f(3). slay 💅✨