Skip to Main Content
Digital Arithmetic
book

Digital Arithmetic

by Miloš D. Ercegovac, Tomás Lang
September 2003
Intermediate to advanced content levelIntermediate to advanced
709 pages
26h 51m
English
Morgan Kaufmann
Content preview from Digital Arithmetic
Rational Approximation 571
Solving the system produces y such that
Yl
= R3,2(x) --
p2 x2 + plx + po
q3 x3 "Jr q2 x2 -+-qlx "+" 1
10.30
Similarly, a polynomial P3(x) is mapped to the following system
1 -x 0 0
yl P0
0 1 -x 0 y2 __ Pl
0 0 1 -x y3 P2
0 0 0 1 y4 P3
10.31
such that yl "- P3(x) =
p3 x3 + p2 x2 + plx + Po
Then, as mentioned above, the system L is solved by a digit recurrence
division algorithm applied to a divisor that is a matrix (A) and a dividend (b)
that is a vector. The solution vector y is computed most-significant digit first,
producing m significant digits in m steps.
b
y--m ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Computer Arithmetic in Practice

Computer Arithmetic in Practice

Sławomir Gryś

Publisher Resources

ISBN: 9781558607989