SRC/zpttrf.f(3)
πΈ NAME πΈ
okay so this is the LAPACK Library Functions Manual page for SRC/zpttrf.f(3), and bestie, we're talking about ZPTTRF today π
β¨ SYNOPSIS β¨
π«Ά Functions/Subroutines π«Ά
subroutine zpttrf (n, d, e, info)βZPTTRF
π Function/Subroutine Documentation π
subroutine zpttrf (integer n, double precision, dimension( * ) d,
complex*16, dimension( * ) e, integer info)
ZPTTRF
π Purpose π
ZPTTRF computes the L*D*L**H factorization of a complex Hermitian positive definite tridiagonal matrix A. The factorization may also be regarded as having the form A = U**H *D*U. no cap, that's the whole glow-up β¨
π Parameters π
NβNisINTEGER, and it's the order of the matrixA.N >= 0. periodt πDβDis aDOUBLE PRECISIONarray, dimension(N). On entry, it holds thendiagonal elements of the tridiagonal matrixA. On exit, it holds thendiagonal elements of the diagonal matrixDfrom theL*D*L**Hfactorization ofA. she gets rewritten, iykyk π¦EβEis aCOMPLEX*16array, dimension(N-1). On entry, it holds the(n-1)subdiagonal elements of the tridiagonal matrixA. On exit, it holds the(n-1)subdiagonal elements of the unit bidiagonal factorLfrom theL*D*L**Hfactorization ofA.Ecan also be regarded as the superdiagonal of the unit bidiagonal factorUfrom theU**H *D*Ufactorization ofA. multi-purpose icon behavior πINFOβINFOisINTEGER, and it's giving status check:= 0: successful exit π< 0: ifINFO = -k, thek-th argument had an illegal value π> 0: ifINFO = k, the leading principal minor of orderkis not positive; ifk < N, the factorization could not be completed, while ifk = N, the factorization was completed, butD(N) <= 0. bestie, read that carefully π
π Author π
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 91 of file zpttrf.f.
π§ Author π§
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