BLAS/SRC/ssyr.f(3)

πŸŽ€ BLAS/SRC/ssyr.f(3) β€” Library Functions Manual

Okay bestie, this page is from the Library Functions Manual, and it's all about BLAS/SRC/ssyr.f β€” the Fortran source page for the ssyr routine. Let's get into it. πŸ’…


🌸 NAME

BLAS/SRC/ssyr.f β€” that's the name, periodt. It's the page for the ssyr subroutine in the BLAS source. ✨

✨ SYNOPSIS

🫢 Functions/Subroutines

  • subroutine ssyr (uplo, n, alpha, x, incx, a, lda) β€” SSYR
subroutine ssyr (uplo, n, alpha, x, incx, a, lda)
    SSYR

πŸ’… Function/Subroutine Documentation

subroutine ssyr (character uplo, integer n, real alpha, real, dimension(*)
    x, integer incx, real, dimension(lda,*) a, integer lda)

SSYR

πŸ¦‹ Purpose

Okay so SSYR performs the symmetric rank 1 operation:

A := alpha*x*x**T + A,

where alpha is a real scalar, x is an n element vector and A is an n by n symmetric matrix. It's giving "update A with alpha times x times x transpose plus A," and honestly? Iconic. 🌈

🌈 Parameters

  • UPLO β€” UPLO is CHARACTER*1. On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:
    • UPLO = 'U' or 'u' β€” Only the upper triangular part of A is to be referenced.
    • UPLO = 'L' or 'l' β€” Only the lower triangular part of A is to be referenced.
  • N β€” N is INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
  • ALPHA β€” ALPHA is REAL. On entry, ALPHA specifies the scalar alpha.
  • X β€” X is REAL array, dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.
  • INCX β€” INCX is INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
  • A β€” A is REAL array, dimension ( LDA, N ).
    • With UPLO = 'U' or 'u': before entry, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix, and the strictly lower triangular part of A is not referenced. On exit, the upper triangular part of the array A is overwritten by the upper triangular part of the updated matrix.
    • With UPLO = 'L' or 'l': before entry, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix, and the strictly upper triangular part of A is not referenced. On exit, the lower triangular part of the array A is overwritten by the lower triangular part of the updated matrix.
  • LDA β€” LDA is INTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ).

πŸ‘‘ Author

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

⭐ Further Details

  • Level 2 Blas routine.
  • -- Written on 22-October-1986.
    • Jack Dongarra, Argonne National Lab.
    • Jeremy Du Croz, Nag Central Office.
    • Sven Hammarling, Nag Central Office.
    • Richard Hanson, Sandia National Labs.

Definition at line 131 of file ssyr.f.

🫢 Author

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Okay bestie, that's the whole ssyr page! πŸ’– Footer vibe check: LAPACK, Version 3.12.0, BLAS/SRC/ssyr.f(3) β€” and there's no date listed on this footer, so I'm not gonna invent one. Slay. βœ¨πŸ¦‹

πŸ“¦ where this page comes from