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Function slaed7_

numpy/linalg/lapack_lite/f2c_s_lapack.c:11553–11875  ·  view source on GitHub ↗

Subroutine */

Source from the content-addressed store, hash-verified

11551} /* slaed6_ */
11552
11553/* Subroutine */ int slaed7_(integer *icompq, integer *n, integer *qsiz,
11554 integer *tlvls, integer *curlvl, integer *curpbm, real *d__, real *q,
11555 integer *ldq, integer *indxq, real *rho, integer *cutpnt, real *
11556 qstore, integer *qptr, integer *prmptr, integer *perm, integer *
11557 givptr, integer *givcol, real *givnum, real *work, integer *iwork,
11558 integer *info)
11559{
11560 /* System generated locals */
11561 integer q_dim1, q_offset, i__1, i__2;
11562
11563 /* Local variables */
11564 static integer i__, k, n1, n2, is, iw, iz, iq2, ptr, ldq2, indx, curr,
11565 indxc;
11566 extern /* Subroutine */ int sgemm_(char *, char *, integer *, integer *,
11567 integer *, real *, real *, integer *, real *, integer *, real *,
11568 real *, integer *);
11569 static integer indxp;
11570 extern /* Subroutine */ int slaed8_(integer *, integer *, integer *,
11571 integer *, real *, real *, integer *, integer *, real *, integer *
11572 , real *, real *, real *, integer *, real *, integer *, integer *,
11573 integer *, real *, integer *, integer *, integer *), slaed9_(
11574 integer *, integer *, integer *, integer *, real *, real *,
11575 integer *, real *, real *, real *, real *, integer *, integer *),
11576 slaeda_(integer *, integer *, integer *, integer *, integer *,
11577 integer *, integer *, integer *, real *, real *, integer *, real *
11578 , real *, integer *);
11579 static integer idlmda;
11580 extern /* Subroutine */ int xerbla_(char *, integer *), slamrg_(
11581 integer *, integer *, real *, integer *, integer *, integer *);
11582 static integer coltyp;
11583
11584
11585/*
11586 -- LAPACK routine (version 3.2) --
11587 -- LAPACK is a software package provided by Univ. of Tennessee, --
11588 -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
11589 November 2006
11590
11591
11592 Purpose
11593 =======
11594
11595 SLAED7 computes the updated eigensystem of a diagonal
11596 matrix after modification by a rank-one symmetric matrix. This
11597 routine is used only for the eigenproblem which requires all
11598 eigenvalues and optionally eigenvectors of a dense symmetric matrix
11599 that has been reduced to tridiagonal form. SLAED1 handles
11600 the case in which all eigenvalues and eigenvectors of a symmetric
11601 tridiagonal matrix are desired.
11602
11603 T = Q(in) ( D(in) + RHO * Z*Z' ) Q'(in) = Q(out) * D(out) * Q'(out)
11604
11605 where Z = Q'u, u is a vector of length N with ones in the
11606 CUTPNT and CUTPNT + 1 th elements and zeros elsewhere.
11607
11608 The eigenvectors of the original matrix are stored in Q, and the
11609 eigenvalues are in D. The algorithm consists of three stages:
11610

Callers 1

slaed0_Function · 0.85

Calls 8

pow_iiFunction · 0.85
slaeda_Function · 0.85
slaed8_Function · 0.85
slaed9_Function · 0.85
sgemm_Function · 0.85
slamrg_Function · 0.85
maxFunction · 0.50
minFunction · 0.50

Tested by

no test coverage detected