SRC/clacon.f(3)

✨ NAME ✨

okay so bestie, this is the manual page for SRC/clacon.f — and yes, we're in the Library Functions Manual 💅 it's giving very specific Fortran subroutine energy and I'm obsessed.

🦋 SYNOPSIS 🦋

💖 Functions/Subroutines 💖

• subroutine clacon (n, v, x, est, kase) — CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.

🌸 Function/Subroutine Documentation 🌸

subroutine clacon (integer n, complex, dimension( n ) v, complex, dimension(
       n ) x, real est, integer kase)

🎀 Purpose 🎀

okay bestie, here's the core: CLACON estimates the 1-norm of a square, complex matrix A. Reverse communication is used for evaluating matrix-vector products. That's literally the whole point ✨

💜 Parameters 💜

• N — N is INTEGER. The order of the matrix. N >= 1. 🫶
• V — V is COMPLEX array, dimension (N). On the final return, V = A*W, where EST = norm(V)/norm(W) (W is not returned). 💖
• X — X is COMPLEX array, dimension (N). On an intermediate return, X should be overwritten by A * X, if KASE=1, / A**H * X, if KASE=2,, where A**H is the conjugate transpose of A, and CLACON must be re-called with all the other parameters unchanged. 🦋
• EST — EST is REAL. On entry with KASE = 1 or 2 and JUMP = 3, EST should be unchanged from the previous call to CLACON. On exit, EST is an estimate (a lower bound) for norm(A). 🌸
• KASE — KASE is INTEGER. On the initial call to CLACON, KASE should be 0. On an intermediate return, KASE will be 1 or 2, indicating whether X should be overwritten by A * X or A**H * X. On the final return from CLACON, KASE will again be 0. 🎀

👑 Author 👑

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

🧚 Further Details 🧚

Originally named CONEST, dated March 16, 1988. Last modified: April, 1999. ⭐

🍓 Contributors 🍓

Nick Higham, University of Manchester

📚 References 📚

N.J. Higham, "FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation", ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988.

Definition at line 113 of file clacon.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that's the whole SRC/clacon.f(3) situation — brought to you by LAPACK, Version 3.12.0 🫶 mwah 💋✨