TESTING/LIN/cptt01.f(3)

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🌸 NAME 🌸

okay bestie, welcome to TESTING/LIN/cptt01.f(3) from the Library Functions Manual — this is the page for TESTING/LIN/cptt01.f, and it's lowkey all about one little testing subroutine. 💅

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

  • subroutine cptt01 (n, d, e, df, ef, work, resid) — CPTT01

💅 Function/Subroutine Documentation 💅

subroutine cptt01 (integer n, real, dimension( * ) d, complex, dimension( * ) e, real, dimension( * ) df, complex, dimension( * ) ef, complex, dimension( * ) work, real resid)

CPTT01

🔥 Purpose 🔥

CPTT01 reconstructs a tridiagonal matrix A from its L*D*L' factorization and computes the residual

norm(L*D*L' - A) / ( n * norm(A) * EPS ),

where EPS is the machine epsilon. That's the whole main-character job, no cap. 👑

🎀 Parameters 🎀

  • N — N is INTEGER; the order of the matrix A. slay, we know the size.
  • D — D is REAL array, dimension (N); the n diagonal elements of the tridiagonal matrix A.
  • E — E is COMPLEX array, dimension (N-1); the (n-1) subdiagonal elements of the tridiagonal matrix A.
  • DF — DF is REAL array, dimension (N); the n diagonal elements of the factor L from the L*D*L' factorization of A.
  • EF — EF is COMPLEX array, dimension (N-1); the (n-1) subdiagonal elements of the factor L from the L*D*L' factorization of A.
  • WORK — WORK is COMPLEX array, dimension (2*N).
  • RESID — RESID is REAL; norm(L*D*L' - A) / (n * norm(A) * EPS).

🫶 Author 🫶

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 91 of file cptt01.f.

🦋 Author 🦋

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