SRC/cunbdb5.f(3)

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💅 SRC/cunbdb5.f(3) — Library Functions Manual 💅

okay so bestie, you're on the Library Functions Manual page for SRC/cunbdb5.f(3), and honestly? it's giving very specific LAPACK routine, and we're gonna get through it together. no cap. ✨

🌸 NAME 🌸

SRC/cunbdb5.f

🦋 SYNOPSIS 🦋

🧁 Functions/Subroutines 🧁

subroutine cunbdb5 (m1, m2, n, x1, incx1, x2, incx2, q1, ldq1, q2, ldq2, work, lwork, info)

short name, main character energy: CUNBDB5 💖

🫶 Function/Subroutine Documentation 🫶

subroutine cunbdb5 (integer m1, integer m2, integer n, complex, dimension(*) x1, integer incx1, complex, dimension(*) x2, integer incx2, complex, dimension(ldq1,*) q1, integer ldq1, complex, dimension(ldq2,*) q2, integer ldq2, complex, dimension(*) work, integer lwork, integer info)

CUNBDB5 — iconic name, literally. ✨

🌈 Purpose 🌈

CUNBDB5 orthogonalizes the column vector

X = [ X1 ]
    [ X2 ]

with respect to the columns of

Q = [ Q1 ] .
    [ Q2 ]

The columns of Q must be orthonormal. 💅

If the projection is zero according to Kahan's criterion, then some other vector from the orthogonal complement is returned. This vector is chosen in an arbitrary but deterministic way. ✨

🍓 Parameters 🍓

  • M1 — M1 is INTEGER; the dimension of X1 and the number of rows in Q1; 0 <= M1. 🎀
  • M2 — M2 is INTEGER; the dimension of X2 and the number of rows in Q2; 0 <= M2. 🎀
  • N — N is INTEGER; the number of columns in Q1 and Q2; 0 <= N. 🎀
  • X1 — X1 is COMPLEX array, dimension (M1); on entry, the top part of the vector to be orthogonalized; on exit, the top part of the projected vector. 💖
  • INCX1 — INCX1 is INTEGER; increment for entries of X1. ✨
  • X2 — X2 is COMPLEX array, dimension (M2); on entry, the bottom part of the vector to be orthogonalized; on exit, the bottom part of the projected vector. 💖
  • INCX2 — INCX2 is INTEGER; increment for entries of X2. ✨
  • Q1 — Q1 is COMPLEX array, dimension (LDQ1, N); the top part of the orthonormal basis matrix. 🦋
  • LDQ1 — LDQ1 is INTEGER; the leading dimension of Q1; LDQ1 >= M1. 🎀
  • Q2 — Q2 is COMPLEX array, dimension (LDQ2, N); the bottom part of the orthonormal basis matrix. 🦋
  • LDQ2 — LDQ2 is INTEGER; the leading dimension of Q2; LDQ2 >= M2. 🎀
  • WORK — WORK is COMPLEX array, dimension (LWORK). 🌸
  • LWORK — LWORK is INTEGER; the dimension of the array WORK; LWORK >= N. 🎀
  • INFO — INFO is INTEGER; = 0: successful exit; < 0: if INFO = -i, the i-th argument had an illegal value. 💀

👑 Author 👑

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

Definition at line 154 of file cunbdb5.f. 📜

🪄 Author 🪄

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