Description
For m = 1,2,…, the th iteration of iterative refinement consists of three steps:
- Compute the residual
rm = b − Axm - Solve the system
Adm = rm - Add the correction
xm+1 = xm + dm
Read more about this topic: Iterative Refinement
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“The next Augustan age will dawn on the other side of the Atlantic. There will, perhaps, be a Thucydides at Boston, a Xenophon at New York, and, in time, a Virgil at Mexico, and a Newton at Peru. At last, some curious traveller from Lima will visit England and give a description of the ruins of St. Paul’s, like the editions of Balbec and Palmyra.”
—Horace Walpole (1717–1797)