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Expand file tree Collapse file tree Original file line number Diff line number Diff line change 112112* > blocks (same format as the output T in CGEQRT).
113113* > The matrix T and the matrix V stored on output in A
114114* > implicitly define Q_out. NOTE: The lower triangles
115- * > below the upper-triangular blcoks will be filled with
115+ * > below the upper-triangular blocks will be filled with
116116* > zeros. See Further Details.
117117* > \endverbatim
118118* >
217217* > If Q_in is the result of doing a QR factorization
218218* > B = Q_in * R_in, then:
219219* >
220- * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = O_out * R_out.
220+ * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = Q_out * R_out.
221221* >
222222* > So if one wants to interpret Q_out as the result
223- * > of the QR factorization of B, then corresponding R_out
224- * > should be obtained by R_out = S * R_in, i.e. some rows of R_in
223+ * > of the QR factorization of B, then the corresponding R_out
224+ * > should be equal to R_out = S * R_in, i.e. some rows of R_in
225225* > should be multiplied by -1.
226226* >
227227* > For the details of the algorithm, see [1].
Original file line number Diff line number Diff line change 112112* > blocks (same format as the output T in DGEQRT).
113113* > The matrix T and the matrix V stored on output in A
114114* > implicitly define Q_out. NOTE: The lower triangles
115- * > below the upper-triangular blcoks will be filled with
115+ * > below the upper-triangular blocks will be filled with
116116* > zeros. See Further Details.
117117* > \endverbatim
118118* >
217217* > If Q_in is the result of doing a QR factorization
218218* > B = Q_in * R_in, then:
219219* >
220- * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = O_out * R_out.
220+ * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = Q_out * R_out.
221221* >
222222* > So if one wants to interpret Q_out as the result
223- * > of the QR factorization of B, then corresponding R_out
224- * > should be obtained by R_out = S * R_in, i.e. some rows of R_in
223+ * > of the QR factorization of B, then the corresponding R_out
224+ * > should be equal to R_out = S * R_in, i.e. some rows of R_in
225225* > should be multiplied by -1.
226226* >
227227* > For the details of the algorithm, see [1].
Original file line number Diff line number Diff line change 112112* > blocks (same format as the output T in SGEQRT).
113113* > The matrix T and the matrix V stored on output in A
114114* > implicitly define Q_out. NOTE: The lower triangles
115- * > below the upper-triangular blcoks will be filled with
115+ * > below the upper-triangular blocks will be filled with
116116* > zeros. See Further Details.
117117* > \endverbatim
118118* >
217217* > If Q_in is the result of doing a QR factorization
218218* > B = Q_in * R_in, then:
219219* >
220- * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = O_out * R_out.
220+ * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = Q_out * R_out.
221221* >
222222* > So if one wants to interpret Q_out as the result
223- * > of the QR factorization of B, then corresponding R_out
224- * > should be obtained by R_out = S * R_in, i.e. some rows of R_in
223+ * > of the QR factorization of B, then the corresponding R_out
224+ * > should be equal to R_out = S * R_in, i.e. some rows of R_in
225225* > should be multiplied by -1.
226226* >
227227* > For the details of the algorithm, see [1].
Original file line number Diff line number Diff line change 112112* > blocks (same format as the output T in ZGEQRT).
113113* > The matrix T and the matrix V stored on output in A
114114* > implicitly define Q_out. NOTE: The lower triangles
115- * > below the upper-triangular blcoks will be filled with
115+ * > below the upper-triangular blocks will be filled with
116116* > zeros. See Further Details.
117117* > \endverbatim
118118* >
217217* > If Q_in is the result of doing a QR factorization
218218* > B = Q_in * R_in, then:
219219* >
220- * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = O_out * R_out.
220+ * > B = (Q_out*S) * R_in = Q_out * (S * R_in) = Q_out * R_out.
221221* >
222222* > So if one wants to interpret Q_out as the result
223- * > of the QR factorization of B, then corresponding R_out
224- * > should be obtained by R_out = S * R_in, i.e. some rows of R_in
223+ * > of the QR factorization of B, then the corresponding R_out
224+ * > should be equal to R_out = S * R_in, i.e. some rows of R_in
225225* > should be multiplied by -1.
226226* >
227227* > For the details of the algorithm, see [1].
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