TESTING/EIG/sget54.f(3)

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✨ NAME ✨

TESTING/EIG/sget54.f

🌸 SYNOPSIS 🌸

Functions/Subroutines

subroutine sget54 (n, a, lda, b, ldb, s, lds, t, ldt, u, ldu, v, ldv,
    work, result)
    SGET54

💅 FUNCTION/SUBROUTINE DOCUMENTATION 💅

subroutine sget54 (integer n, real, dimension( lda, * ) a, integer lda,
       real, dimension( ldb, * ) b, integer ldb, real, dimension( lds, * ) s,
       integer lds, real, dimension( ldt, * ) t, integer ldt, real, dimension(
       ldu, * ) u, integer ldu, real, dimension( ldv, * ) v, integer ldv, real,
       dimension( * ) work, real result)

SGET54

🎀 Purpose 🎀

okay so SGET54 checks a generalized decomposition of the form

A = U*S*V'  and B = U*T* V'

where ' means transpose and U and V are orthogonal.

Specifically,

RESULT = ||( A - U*S*V', B - U*T*V' )|| / (||( A, B )||*n*ulp )

🐚 Parameters 🐚

• N — N is INTEGER. The size of the matrix. If it is zero, SGET54 does nothing. It must be at least zero.
• A — A is REAL array, dimension (LDA, N). The original (unfactored) matrix A.
• LDA — LDA is INTEGER. The leading dimension of A. It must be at least 1 and at least N.
• B — B is REAL array, dimension (LDB, N). The original (unfactored) matrix B.
• LDB — LDB is INTEGER. The leading dimension of B. It must be at least 1 and at least N.
• S — S is REAL array, dimension (LDS, N). The factored matrix S.
• LDS — LDS is INTEGER. The leading dimension of S. It must be at least 1 and at least N.
• T — T is REAL array, dimension (LDT, N). The factored matrix T.
• LDT — LDT is INTEGER. The leading dimension of T. It must be at least 1 and at least N.
• U — U is REAL array, dimension (LDU, N). The orthogonal matrix on the left-hand side in the decomposition.
• LDU — LDU is INTEGER. The leading dimension of U. LDU must be at least N and at least 1.
• V — V is REAL array, dimension (LDV, N). The orthogonal matrix on the left-hand side in the decomposition.
• LDV — LDV is INTEGER. The leading dimension of V. LDV must be at least N and at least 1.
• WORK — WORK is REAL array, dimension (3*N**2).
• RESULT — RESULT is REAL. The value RESULT, It is currently limited to 1/ulp, to avoid overflow. Errors are flagged by RESULT=10/ulp.

👑 Author 👑

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

Definition at line 154 of file sget54.f.

🌈 AUTHOR 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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