Global Information Lookup Global Information

Computational complexity of mathematical operations information


Graphs of functions commonly used in the analysis of algorithms, showing the number of operations versus input size for each function

The following tables list the computational complexity of various algorithms for common mathematical operations.

Here, complexity refers to the time complexity of performing computations on a multitape Turing machine.[1] See big O notation for an explanation of the notation used.

Note: Due to the variety of multiplication algorithms, below stands in for the complexity of the chosen multiplication algorithm.

  1. ^ Schönhage, A.; Grotefeld, A.F.W.; Vetter, E. (1994). Fast Algorithms—A Multitape Turing Machine Implementation. BI Wissenschafts-Verlag. ISBN 978-3-411-16891-0. OCLC 897602049.

and 27 Related for: Computational complexity of mathematical operations information

Request time (Page generated in 0.8944 seconds.)

Computational complexity of mathematical operations

Last Update:

list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing...

Word Count : 1488

Computational complexity

Last Update:

computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation...

Word Count : 2976

Computational complexity theory

Last Update:

introducing mathematical models of computation to study these problems and quantifying their computational complexity, i.e., the amount of resources needed...

Word Count : 6302

Computational complexity of matrix multiplication

Last Update:

theoretical computer science, the computational complexity of matrix multiplication dictates how quickly the operation of matrix multiplication can be performed...

Word Count : 4054

Model of computation

Last Update:

computability theory and computational complexity theory, a model of computation is a model which describes how an output of a mathematical function is computed...

Word Count : 363

Computational mathematics

Last Update:

Computational mathematics is the study of the interaction between mathematics and calculations done by a computer. A large part of computational mathematics...

Word Count : 538

Theory of computation

Last Update:

theory, and computational complexity theory, which are linked by the question: "What are the fundamental capabilities and limitations of computers?"....

Word Count : 2127

Computational physics

Last Update:

Computational physics is the study and implementation of numerical analysis to solve problems in physics. Historically, computational physics was the...

Word Count : 1395

Theoretical computer science

Last Update:

biological data. Computational complexity theory is a branch of the theory of computation that focuses on classifying computational problems according...

Word Count : 4543

Time complexity

Last Update:

the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly...

Word Count : 4969

Computational topology

Last Update:

topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and...

Word Count : 1591

Strassen algorithm

Last Update:

conventional multiplication. Computational complexity of mathematical operations Gauss–Jordan elimination Computational complexity of matrix multiplication Z-order...

Word Count : 3393

Computational chemistry

Last Update:

phenomena. Computational chemistry differs from theoretical chemistry, which involves a mathematical description of chemistry. However, computation chemistry...

Word Count : 8359

Randomized algorithm

Last Update:

Papadimitriou (1993), Computational Complexity (1st ed.), Addison Wesley, ISBN 978-0-201-53082-7 Chapter 11: Randomized computation, pp. 241–278. Rabin...

Word Count : 4173

Computational problem

Last Update:

factor of n." is a computational problem. A computational problem can be viewed as a set of instances or cases together with a, possibly empty, set of solutions...

Word Count : 920

Computational geometry

Last Update:

problems in computational geometry are classical in nature, and may come from mathematical visualization. Other important applications of computational geometry...

Word Count : 2101

Mathematical software

Last Update:

mathematical software. Musimathics website, freeware download Internet Accessible Mathematical Computation, Institute for Computational Mathematics,...

Word Count : 531

Mathematical structure

Last Update:

(2013). "Mathematical structures". Logical foundations of mathematics and computational complexity a gentle introduction. Cham: Springer. pp. 2–24. ISBN 9783319001197...

Word Count : 617

Discrete mathematics

Last Update:

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

Word Count : 2768

Complexity class

Last Update:

In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly...

Word Count : 10356

Matrix multiplication algorithm

Last Update:

multilayered) processing structure. Computational complexity of mathematical operations Computational complexity of matrix multiplication CYK algorithm...

Word Count : 4324

Complexity and Real Computation

Last Update:

Complexity and Real Computation is a book on the computational complexity theory of real computation. It studies algorithms whose inputs and outputs are...

Word Count : 852

Lists of mathematics topics

Last Update:

aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables...

Word Count : 2591

Computer algebra

Last Update:

to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. Although computer algebra...

Word Count : 3014

Computational sociology

Last Update:

Computational sociology is a branch of sociology that uses computationally intensive methods to analyze and model social phenomena. Using computer simulations...

Word Count : 4299

Algorithm

Last Update:

List of algorithms List of algorithm general topics Regulation of algorithms Theory of computation Computability theory Computational complexity theory...

Word Count : 7400

Quantum computing

Last Update:

solve the same computational problems as a quantum computer, given enough time. Quantum advantage comes in the form of time complexity rather than computability...

Word Count : 12476

PDF Search Engine © AllGlobal.net