ZSPT03(3)

NAME 💅

okay bestie, welcome to the ZSPT03(3) page in the Library Functions Manual. The NAME section is literally this file path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zspt03.f

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SYNOPSIS ✨

Functions/Subroutines 🧚

subroutine ZSPT03 (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)
    ZSPT03

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Function/Subroutine Documentation 🫶

subroutine ZSPT03 (character uplo, integer n, complex*16, dimension( * ) a,
     complex*16, dimension( * ) ainv, complex*16, dimension( ldw, * ) work,
     integer ldw, double precision, dimension( * ) rwork, double precision
     rcond, double precision resid)

ZSPT03

Purpose 🌸

ZSPT03 computes the residual for a complex symmetric packed matrix times its inverse:

norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS ),

where EPS is the machine epsilon.

Parameters 🎀

• UPLO — CHARACTER*1. Specifies whether the upper or lower triangular part of the complex symmetric matrix A is stored:
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — INTEGER. The number of rows and columns of the matrix A. N >= 0.
• A — COMPLEX*16 array, dimension (N*(N+1)/2). The original complex symmetric matrix A, stored as a packed triangular matrix.
• AINV — COMPLEX*16 array, dimension (N*(N+1)/2). The (symmetric) inverse of the matrix A, stored as a packed triangular matrix.
• WORK — COMPLEX*16 array, dimension (LDW,N).
• LDW — INTEGER. The leading dimension of the array WORK. LDW >= max(1,N).
• RWORK — DOUBLE PRECISION array, dimension (N).
• RCOND — DOUBLE PRECISION. The reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV).
• RESID — DOUBLE PRECISION. norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )

Author 👑

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

Definition at line 108 of file zspt03.f.

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Author 🦋

Generated automatically by Doxygen for LAPACK from the source code.

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