Analysis of algorithms

The process of finding the computational ==computational complexity== of algorithms is called analysis of algorithms 1.

Which method can be used to compare, predict performance, and understand various trade-offs between two algorithms?
Analysis of algorithms helps compare algorithms, predict performance, and understand trade-offs between resources (time/memory). It is crucial for optimizing computational efficiency.

The search process of X characterizes the effectiveness of the algorithm. What X is?
In computer science this is the process of finding the computational complexity (number of steps, which depends on input size) of algorithms. For example amount of time to execeute an algorithm, required storage or memory.

Efficiency of algorithms is measured by?
Efficiency of algorithms is measured by its function’s values: value is small or grow slowly compared to a growth in the size on input.

Different inputs of the same size may cause the algorithm to have different behavior, so best, worst and average case descriptions might all be of practical interest.

When not otherwise specified, the function describing the performance of an algorithm is usually an upper bound, determined from the worst case inputs to the algorithm.

Footnotes

  1. Analysis of algorithms - Wikipedia