What does it mean to say one algorithm is more efficient than another?

One way to say one algorithm is asymptotically more efficient than another is if there is some (problem-specific) input size such that for any larger input size the more efficient algorithm will take fewer “computational steps”, usually by some abstract measure, e.g. number of comparisons.

What is the best way to describe algorithm?

An algorithm (pronounced AL-go-rith-um) is a procedure or formula for solving a problem, based on conducting a sequence of specified actions. A computer program can be viewed as an elaborate algorithm. In mathematics and computer science, an algorithm usually means a small procedure that solves a recurrent problem.

How can you compare the efficiency of two algorithms?

2 Answers. if you want to test the time complexity of each algorithm, you can run them on different data set size, let sayon: 10, 100, 1000, 10K, 100K 1M (or B) data set, measure the time it take the algorithm to finish. put the result on graph will give you the answer.

How do you compare two algorithms?

Comparing algorithms

1. Approach 1: Implement and Test. Alce and Bob could program their algorithms and try them out on some sample inputs.
2. Approach 2: Graph and Extrapolate.
3. Approach 2: Create a formula.
4. Approach 3: Approximate.
5. Ignore the Constants.
6. Practice with Big-O.
7. Going from Pseudocode.
8. Going from Java.

What makes an algorithm more efficient?

The most efficient algorithm is one that takes the least amount of execution time and memory usage possible while still yielding a correct answer.

How do you describe an algorithm in words?

An algorithm is a finite, definite, effective procedure, with some output. The series of steps that you develop to solve a problem is known as a solution algorithm. There are many different algorithms for almost any problem.

What is another word for algorithm?

In this page you can discover 22 synonyms, antonyms, idiomatic expressions, and related words for algorithm, like: mathematic, technique, algorithmic rule, method, parameterisation, algorithmic program, probabilistic, model, encryption or encipher, wavelet and bayesian.

How is the efficiency of the algorithm defined?

The efficiency of an algorithm is defined as the number of computational resources used by the algorithm. The efficiency of an algorithm can be measured based on the usage of different resources. For maximum efficiency of algorithm we wish to minimize resource usage.

How would you improve the performance of your algorithm in terms of memory efficiency?

… While algorithms can be made more efficient by reducing the number of instructions, current research [8,15,17] shows that an algorithm can afford to increase the number of instructions if doing so improves the locality of memory accesses and thus reduces the number of cache misses.

How do you compare the different algorithms?

The standard way of comparing different algorithms is by comparing their complexity using Big O notation. In practice you would of course also benchmark the algorithms. As an example the sorting algorithms bubble sort and heap sort has complexity O (n 2) and O (n log n) respective.

Is one sorting algorithm better than another sorting algorithm?

It is not always possible to say that one sorting algorithm is better than another sorting algorithm. Performance of various sorting algorithm depend upon the data being sorted. Sorting is used in many important applications such that there has been an abundance of performance analysis. However, most previous research is based on the

How can one algorithm be asymptotically more efficient than another?

One way to say one algorithm is asymptotically more efficient than another is if there is some (problem-specific) input size such that for any larger input size the more efficient algorithm will take fewer “computational steps”, usually by some abstract measure, e.g. number of comparisons.

Why do some algorithms require more steps than others?

The idea of the answers is that an asymptotically more efficient algorithm maystill require more steps before that input size. It canbe the case that the asymptotically more efficient algorithm requires fewer steps for all inputs, but it doesn’t need to be the case and in practice usually isn’t.