TESTING/LIN/sget04.f(3)

🦋 TESTING/LIN/sget04.f(3) — Library Functions Manual 🦋

🌸 NAME 🌸

TESTING/LIN/sget04.f — that’s the page, bestie, and the manual name is Library Functions Manual. The actual subroutine living here is SGET04, and it’s lowkey the main character of this file. 💅

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine sget04 (n, nrhs, x, ldx, xact, ldxact, rcond, resid)
    SGET04

🧚 Function/Subroutine Documentation 🧚

subroutine sget04 (integer n, integer nrhs, real, dimension( ldx, * ) x,
     integer ldx, real, dimension( ldxact, * ) xact, integer ldxact, real
     rcond, real resid)

SGET04 — yes, that’s the subroutine name, and it is absolutely the icon of this page. 👑

🎯 Purpose 🎯

SGET04 computes the difference between a computed solution and the true solution to a system of linear equations.

The formula is the whole vibe check:

RESID =  ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ),

where RCOND is the reciprocal of the condition number and EPS is the machine epsilon. No cap, that’s the math. 🧮✨

🧮 Parameters 🧮

• N — INTEGER; the number of rows of the matrices X and XACT. N >= 0.
• NRHS — INTEGER; the number of columns of the matrices X and XACT. NRHS >= 0.
• X — REAL array, dimension (LDX,NRHS); the computed solution vectors. Each vector is stored as a column of the matrix X.
• LDX — INTEGER; the leading dimension of the array X. LDX >= max(1,N).
• XACT — REAL array, dimension( LDX, NRHS ); the exact solution vectors. Each vector is stored as a column of the matrix XACT.
• LDXACT — INTEGER; the leading dimension of the array XACT. LDXACT >= max(1,N).
• RCOND — REAL; the reciprocal of the condition number of the coefficient matrix in the system of equations.
• RESID — REAL; the maximum over the NRHS solution vectors of ( norm(X-XACT) * RCOND ) / ( norm(XACT) * EPS ).

📜 Author 📜

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

Definition at line 101 of file sget04.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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That’s the whole page, bestie 🫶 — footer vibes are LAPACK Version 3.12.0 and page TESTING/LIN/sget04.f(3). The footer didn’t give me a date, so I’m not making one up. Periodt. 💖