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Man Pages
TESTING/LIN/sqrt11.f(3) LAPACK TESTING/LIN/sqrt11.f(3)

TESTING/LIN/sqrt11.f


real function sqrt11 (m, k, a, lda, tau, work, lwork)
SQRT11

SQRT11

Purpose:


SQRT11 computes the test ratio
|| Q'*Q - I || / (eps * m)
where the orthogonal matrix Q is represented as a product of
elementary transformations. Each transformation has the form
H(k) = I - tau(k) v(k) v(k)'
where tau(k) is stored in TAU(k) and v(k) is an m-vector of the form
[ 0 ... 0 1 x(k) ]', where x(k) is a vector of length m-k stored
in A(k+1:m,k).

Parameters

M


M is INTEGER
The number of rows of the matrix A.

K


K is INTEGER
The number of columns of A whose subdiagonal entries
contain information about orthogonal transformations.

A


A is REAL array, dimension (LDA,K)
The (possibly partial) output of a QR reduction routine.

LDA


LDA is INTEGER
The leading dimension of the array A.

TAU


TAU is REAL array, dimension (K)
The scaling factors tau for the elementary transformations as
computed by the QR factorization routine.

WORK


WORK is REAL array, dimension (LWORK)

LWORK


LWORK is INTEGER
The length of the array WORK. LWORK >= M*M + M.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 97 of file sqrt11.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:35 Version 3.12.1

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