<s>
In	O
numerical	B-General_Concept
analysis	I-General_Concept
,	O
the	O
Clenshaw	B-Algorithm
algorithm	I-Algorithm
,	O
also	O
called	O
Clenshaw	B-Algorithm
summation	I-Algorithm
,	O
is	O
a	O
recursive	O
method	O
to	O
evaluate	O
a	O
linear	O
combination	O
of	O
Chebyshev	O
polynomials	O
.	O
</s>
<s>
In	O
full	O
generality	O
,	O
the	O
Clenshaw	B-Algorithm
algorithm	I-Algorithm
computes	O
the	O
weighted	O
sum	O
of	O
a	O
finite	O
series	O
of	O
functions	O
:	O
</s>
<s>
Clenshaw	B-Algorithm
summation	I-Algorithm
is	O
extensively	O
used	O
in	O
geodetic	O
applications	O
.	O
</s>
