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HP HP-11C User Manual

HP HP-11C
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154
Section
10:
Applications
Programs
Newton’s
Method
Solution
to
f(x)
=0
One
of
the
most
common
and
frustrating
problems
in
algebra
is
the
solution
of
an
equation
like:
Inx
+3x
=10.8074,
in
which
the
x’s
refuse
to
conveniently
migrate
to
one
side
of
the
equation
and
isolate
themselves.
That
is,
there
is
no
simple
algebraic
solution.
The
following
program
uses
Newton’s
method
to
find
a
solution
for
f(x)
=0,
where
f(x)
is
specified
by
the
user.
The
user
must
define
the
function
f(x)
by
entering
into
program
memory
the
keystrokes
required
to
find
f(x),
assuming
x
is
in
the
X-register.
The
main
program
is
68
steps
long
and
requires
registers
0-4.
The
remaining
memory
and
available
registers
may
be
used
for
defining
f(x)
by
the
user.
In
addition,
the
user
must
provide
the
program
with
an
initial
guess,
x,,
for
the
solution.
The
closer
the
initial
guess
is
to
the
actual
solution,
the
faster
the
program
will
converge
to
an
answer.
y
y
=f(x)
[x2
[x1
xo

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HP HP-11C Specifications

General IconGeneral
BrandHP
ModelHP-11C
CategoryCalculator
LanguageEnglish

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