sum1(3)

okay so bestie, this is sum1(3) from the Library Functions Manual — LAPACK's whole little absolute-value situation, and honestly? It's giving "two functions, one very specific math vibe" 🍓✨.

💖 NAME 💖

sum1 — sum1: sum | x_i | (in LAPACK)

That's the name, no notes 💅.

✨ SYNOPSIS ✨

🌈 Functions 🌈

• double precision function dzsum1 (n, cx, incx) — DZSUM1 forms the 1-norm of the complex vector using the true absolute value. Double precision baddie, literally.
• real function scsum1 (n, cx, incx) — SCSUM1 forms the 1-norm of the complex vector using the true absolute value. Single precision version, same iconic energy.

🌸 DETAILED DESCRIPTION 🌸

okay so the detailed description is lowkey just "scroll down, bestie, the functions are right there" 🙈. No extra lore in the original, so we're not inventing any. The function docs are below 👇

🎀 FUNCTION DOCUMENTATION 🎀

💜 double precision function dzsum1 (integer n, complex*16, dimension( * ) cx, integer incx)

DZSUM1 forms the 1-norm of the complex vector using the true absolute value. It's the double precision girlie, and she's here to do exactly that.

🎯 Purpose

DZSUM1 takes the sum of the absolute values of a complex vector and returns a double precision result. Based on DZASUM from the Level 1 BLAS. The change is to use the 'genuine' absolute value.

🧮 Parameters

• N — N is INTEGER. It's the number of elements in the vector CX.
• CX — CX is COMPLEX*16 array, dimension (N). It's the vector whose elements will be summed.
• INCX — INCX is INTEGER. It's the spacing between successive values of CX. INCX > 0.

👑 Author

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

🫶 Contributors

Nick Higham for use with ZLACON.

Definition at line 80 of file dzsum1.f.

💙 real function scsum1 (integer n, complex, dimension( * ) cx, integer incx)

SCSUM1 forms the 1-norm of the complex vector using the true absolute value. Single precision, same assignment.

🎯 Purpose

SCSUM1 takes the sum of the absolute values of a complex vector and returns a single precision result. Based on SCASUM from the Level 1 BLAS. The change is to use the 'genuine' absolute value.

🧮 Parameters

• N — N is INTEGER. It's the number of elements in the vector CX.
• CX — CX is COMPLEX array, dimension (N). It's the vector whose elements will be summed.
• INCX — INCX is INTEGER. It's the spacing between successive values of CX. INCX > 0.

👑 Author

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

🫶 Contributors

Nick Higham for use with CLACON.

Definition at line 80 of file scsum1.f.

🦋 AUTHOR 🦋

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, that's the whole page 💖. Signing off with LAPACK Version 3.12.0, page sum1(3) — stay slay, keep your INCX > 0, and remember: true absolute value only 💅✨.