If you cannot find any iterative algorithm for the problem, you have to settle for a recursive one.
Some problems cry out for recursion. For example, an algorithm might be defined recursively (e.g. the Fibonacci function). When an algorithm is given with a recursive definition, the recursive implementation is straight-forward. However, it can be shown that all recursive implementations have an iterative functional equivalent, and vice versa. Systems requiring maximum processing speed, or requiring execution within very limited resources (for example, limited stack depth), are generally better implemented using iteration.
A recursive call in an algorithm is when a function (that implements this algorithm) calls itself. For example, Quicksort is a popular algorithm that is recursive. The recursive call is seen in the last line of the pseudocode, where the quicksort function calls itself. function quicksort('array') create empty lists 'less' and 'greater' if length('array') ≤ 1 return 'array' // an array of zero or one elements is already sorted select and remove a pivot value 'pivot' from 'array' for each 'x' in 'array' if 'x' ≤ 'pivot' then append 'x' to 'less' else append 'x' to 'greater' return concatenate(quicksort('less'), 'pivot', quicksort('greater'))
For some algorithms recursive functions are faster, and there are some problems that can only be solved through recursive means as iterative approaches are computationally infeasible.
You overcome limitations of the stack in polygon filling, or in any other algorithm, far that matter, but using an iterative technique, rather than a recursive technique. Recursion is quite useful, and can simplify algorithm design. Polygon filling, however, is a class of algorithm can potentially have a very deep recursion depth. This causes stress on the stack, hence the need for iteration.
If the condition has been reached.
Some problems cry out for recursion. For example, an algorithm might be defined recursively (e.g. the Fibonacci function). When an algorithm is given with a recursive definition, the recursive implementation is straight-forward. However, it can be shown that all recursive implementations have an iterative functional equivalent, and vice versa. Systems requiring maximum processing speed, or requiring execution within very limited resources (for example, limited stack depth), are generally better implemented using iteration.
Recursive and non-recursive (also known as iterative) are simply two different approaches to solving a problem. Properly implemented, they should give the same result. If they do not, then something is wrong, and you should spend the time to figure out why.This is a generic answer, because the topic is too broad to answer here, as there are many different reasons that a particular algorithm may fail.
Use Euclid's algo. You can do it in a recursive or iterative manner.
They are iterative methods, but they can be implemented as recursive methods.
A recursive call in an algorithm is when a function (that implements this algorithm) calls itself. For example, Quicksort is a popular algorithm that is recursive. The recursive call is seen in the last line of the pseudocode, where the quicksort function calls itself. function quicksort('array') create empty lists 'less' and 'greater' if length('array') ≤ 1 return 'array' // an array of zero or one elements is already sorted select and remove a pivot value 'pivot' from 'array' for each 'x' in 'array' if 'x' ≤ 'pivot' then append 'x' to 'less' else append 'x' to 'greater' return concatenate(quicksort('less'), 'pivot', quicksort('greater'))
For some algorithms recursive functions are faster, and there are some problems that can only be solved through recursive means as iterative approaches are computationally infeasible.
Suck a dick until it works
You overcome limitations of the stack in polygon filling, or in any other algorithm, far that matter, but using an iterative technique, rather than a recursive technique. Recursion is quite useful, and can simplify algorithm design. Polygon filling, however, is a class of algorithm can potentially have a very deep recursion depth. This causes stress on the stack, hence the need for iteration.
Yes, you can. Any iterative method/algorithm that is used to solve a continuous mathematics problem can also be called a numerical method/algorithm.
If the condition has been reached.
Linear search(a,item) n=length(a) for i=1 to n do if(a[i]==item) then return i end for return -1
A base case is the part of a recursive definition or algorithm which is not defined in terms of itself.