Computational Resources

Computational Resources

In computational complexity theory, a computational resource is a resource used by some computational models in the solution of computational problems.

The simplest computational resources are computation time, the number of steps necessary to solve a problem, and memory space, the amount of storage needed while solving the problem, but many more complicated resources have been defined.

A computational problem is generally defined in terms of its action on any valid input. Examples of problems might be "given an integer n, determine whether n is prime", or "given two numbers x and y, calculate the product x*y". As the inputs get bigger, the amount of computational resources needed to solve a problem will increase. Thus, the resources needed to solve a problem are described in terms of asymptotic analysis, by identifying the resources as a function of the length or size of the input.

Computational resources are useful because we can study which problems can be computed in a certain amount of each computational resource. In this way, we can determine whether algorithms for solving the problem are optimal and we can make statements about an algorithm's efficiency. The set of all of the computational problems that can be solved using a certain amount of a certain computational resource is a complexity class, and relationships between different complexity classes are one of the most important topics in complexity theory.

Read more about Computational ResourcesDescribing Generally Accessible Computing Equipment, Formal Quantification of Computing Capability

Other articles related to "computational, computational resource, resource, computational resources, resources":

Computational Resource
... In computational complexity theory, a computational resource is a resource used by some computational models in the solution of computational problems ... The simplest computational resources are computation time, the number of steps necessary to solve a problem, and memory space, the amount of storage needed while solving the problem, but many more complicated ... A computational problem is generally defined in terms of its action on any valid input ...
Nordu Grid - ARC Community
... groups of people willing to share their computational resources via ARC ... as a virtual organisation (VO), allowing the mutual use of such community resources ... not required to provide computing or storage resources neither offering such resources grants an automatic membership ...
GPGPU Programming Concepts - GPU Programming Concepts - Computational Resources
... There are a variety of computational resources available on the GPU Programmable processors – Vertex, primitive, and fragment pipelines allow programmer to perform ...
Computational Resources - Formal Quantification of Computing Capability
... specific computations using the number of state transitions and alphabet size to quantify the computational effort required to solve a particular problem ...

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