CLACON(3)

✨ CLACON(3) — LAPACK bestie manual page ✨

okay so this is the CLACON(3) page from the Library Functions Manual, and the path vibe is /home/abui...RC/clacon.f(3). Not me being highkey obsessed with a Fortran subroutine that estimates a 1-norm, but here we are 💅 it’s giving reverse-communication realness, main character energy, and I am seated. vibe check: passed, iykyk.

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🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/clacon.f

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🌸 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. periodt.

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🦋 Function/Subroutine Documentation 🦋

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

CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. That’s the whole vibe, but the details matter, so stay with me 🫶.

🎯 Purpose

!>
!> CLACON estimates the 1-norm of a square, complex matrix A.
!> Reverse communication is used for evaluating matrix-vector products.
!>

ngl, that’s the whole plot, and it slays.

💅 Parameters

• N — N is INTEGER. It’s the order of the matrix, and N >= 1. lowkey essential. no cap.
• V — V is COMPLEX array, dimension (N). On the final return, V = A*W, where EST = norm(V)/norm(W) (and W is not returned). iconic but mysterious, fr fr.
• X — X is COMPLEX array, dimension (N). On an intermediate return, X should be overwritten by A * X if KASE=1, or by 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. yes bestie, same parameters, don’t switch the fit — it ate.
• 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). lower bound baddie.
• 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. the comeback era, literally. the way that KASE returns to 0? poetic.

👑 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 ofa 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.

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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okay that’s the whole page, bestie 🫶 — source/version tag: LAPACK Version 3.12.0; page path: /home/abui...RC/clacon.f(3); date energy: March 16, 1988 and April, 1999 from the routine’s own details. mwah 💅✨