...rogram, i.e. a collection of machine commands describing the computational algorithms, organizing the realization of the computational process in the given compu
...onal steps, method of]]). An important task in the theory of computational algorithms is their optimization.
10 KB (1,642 words) - 08:41, 29 August 2014
Already in the Middle Ages a number of algorithms for constructing magic squares of odd order $ n $
Many algorithms for constructing magic squares are known (resulting in squares with non-lin
5 KB (762 words) - 19:27, 12 January 2024
..."A space-efficient on-line method of computing quantile estimators" ''J. Algorithms'' , '''2''' (1981) pp. 164–177</TD></TR></table>
2 KB (281 words) - 17:22, 7 February 2011
...n="top"> J.P. Duval, "Factorizing words over an ordered alphabet" ''J. Algorithms'' , '''4''' (1983) pp. 363–381</TD></TR>
6 KB (946 words) - 13:41, 20 March 2023
...se of development of the theory of algorithms (cf. [[Algorithms, theory of|Algorithms, theory of]]), there emerged a number of modifications of the original defi
===Representing Algorithms by Turing Machines===
14 KB (2,355 words) - 12:40, 28 December 2013
...is proved by providing exponentially large lower bounds that hold for all algorithms. Many problems suffer from the curse of dimension. Examples include numeric
...o [[Optimization of computational algorithms|Optimization of computational algorithms]]. Whether a problem suffers from the curse of dimension depends on the exa
12 KB (1,706 words) - 20:29, 9 December 2023
...nce, or they may vary during the calculation. For this reason, one designs algorithms that enable one to use grids that are more closely spaced in such zones.
In order to set up reliable numerical algorithms, the problem of constructing a grid is often formulated as a task of minimi
5 KB (759 words) - 10:59, 16 April 2014
...>[a3]</TD> <TD valign="top"> J.M. Robertson, W.A. Webb, "Cake-cutting algorithms: be fair if you can" , A.K. Peters (1998)</TD></TR><TR><TD valign="top">[a
2 KB (317 words) - 16:50, 30 December 2018
...ly analyzed as well as implemented. Especially, primal-dual interior-point algorithms (i.e., methods generating primal and dual solutions in each iteration) prov
...ign="top"> Yu. Nesterov, A.S. Nemirovskii, "Interior point polynomial algorithms in convex programming" , ''Studies in Applied Mathematics'' , '''13''' , SI
5 KB (710 words) - 22:13, 5 June 2020
.../TD> <TD valign="top"> M. Minoux, "Mathematical programming: theory and algorithms" , Wiley (1986)</TD></TR></table>
3 KB (372 words) - 08:07, 22 November 2014
...includes, in particular, the self-scaling variable metric algorithms (SSVM algorithms), which share most properties of the Broyden family and automatically compe
...op"> S.S. Oren, D.G. Luenberger, "Self-scaling variable metric (SSVM) algorithms I" ''Management Science'' , '''20''' (1974) pp. 845–862</td></tr><tr><
12 KB (1,897 words) - 19:37, 9 February 2024
...[[Network|network]] or [[Graph|graph]] that satisfy a given property. Such algorithms are also used, e.g., to optimize a function on a graph or network or on a s
There is an obvious analogous search algorithm for non-oriented graphs. These algorithms run in $ O ( \# V + \# E ) $
11 KB (1,442 words) - 08:12, 6 June 2020
In practice, time-consuming scanning is combined with algorithms for finding a local extremum: by scanning and a priori reduction of $ f (
1) Algorithms of the heavy-sphere type (cf. [[Heavy sphere, method of the|Heavy sphere, m
9 KB (1,335 words) - 08:01, 6 June 2020
...and hence the Berlekamp–Massey algorithm, has connections to several other algorithms, most notably the extended [[Euclidean algorithm|Euclidean algorithm]] [[#R
...gorithms in numerical analysis such as Lanczos recursion and Levinson–Shur algorithms for Toeplitz matrices, as well as problems of minimal realizations in syste
8 KB (1,155 words) - 18:48, 26 January 2024
...TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> H. Edelsbrunner, "Algorithms in combinatorial geometry" , Springer (1987) {{MR|0904271}} {{ZBL|0634.5200
2 KB (301 words) - 08:28, 6 June 2020
Hierarchical clustering algorithms can be characterized as ''greedy''
The algorithms, which have the potential for ''exactly'' replicating
13 KB (1,912 words) - 18:57, 7 March 2024
...estimate of the complexity of the amount of work and the specification of algorithms (see also [[Algorithmic information theory|Algorithmic information theory]]
...hnik, "On the unsolvability of the reducibility problem in the theory of algorithms" ''Dokl. Akad. Nauk SSSR'' , '''108''' : 2 (1956) pp. 194–197 (In Ru
6 KB (921 words) - 17:32, 5 June 2020
...recent survey of the simplex algorithm, the Karmarkar algorithm (interior algorithms) and ellipsoid methods in relation to each other, cf. [[#References|[a8]]].
...p">[a6]</TD> <TD valign="top"> A.R.G. Heesterman, "Matrices and simplex algorithms" , Reidel (1983)</TD></TR><TR><TD valign="top">[a7]</TD> <TD valign="top">
8 KB (1,246 words) - 06:35, 7 May 2022
A method of defining functions studied in the theory of algorithms and other branches of mathematical logic. This method has been used for a l
...nition of recursion consists not only in its significance in the theory of algorithms, but also in that it permits one to look from an "algorithmic" (in the ge
13 KB (2,044 words) - 08:10, 6 June 2020
factorization. Such decompositions play an important role in numerical algorithms, [[#References|[a2]]], [[#References|[a3]]] (for instance, in computing eig
2 KB (350 words) - 08:26, 6 June 2020
...of [[Refal|Refal]], Snobol has its own theoretical premise, Markov normal algorithms (cf. [[Normal algorithm|Normal algorithm]]), in which the basic computing o
...rs. The implementation of this language aided the development of efficient algorithms for manipulating lines of variable length in a computer memory.
6 KB (915 words) - 08:14, 6 June 2020
...s [[Optimization of computational algorithms|Optimization of computational algorithms]].
6 KB (871 words) - 17:45, 1 July 2020
<TR><TD valign="top">[2]</TD> <TD valign="top"> A.I. Mal'tsev, "Algorithms and recursive functions" , Wolters-Noordhoff (1970) (Translated from Russ
2 KB (371 words) - 21:13, 2 November 2014
...t the algorithm sought need not exist at all. As a result, the approach to algorithms on the part of mathematicians underwent a radical change, and new algorithm
...evertheless, since it makes it possible to speak of unsolvability of given algorithms in a wide sense, which is generally understood by mathematicians.
21 KB (3,264 words) - 06:46, 26 March 2023
...es are not always solvable according to Nash or strongly solvable. Various algorithms are available to find equilibrium solutions in bimatrix games: a method of
2 KB (351 words) - 07:37, 23 August 2014
The various service algorithms produce quite diverse forms of queues. The simplest ones are presented belo
.... These are associated with more complicated control sequences and service algorithms.
15 KB (2,349 words) - 09:05, 21 January 2024
...more rigorous requirement as well: It is possible to tell, with the aid of algorithms, whether $P_0$ is deducible from $P_1,\ldots,P_l$ by one application of the
3 KB (431 words) - 19:19, 17 October 2014
...apparatus, and pseudo-random numbers, being constructed using arithmetical algorithms. It is usually assumed (for better or worse reason) that the sequence obtai
...od]]), and in cryptography, for the concrete realization of non-determined algorithms and behaviour predicted only "on the average" . For example, if the next
6 KB (899 words) - 08:09, 6 June 2020
since the number of operations required increases rapidly. Many other algorithms have therefore been constructed, which, however, are not effectively applic
...ormal form is a natural way of improving the effectiveness of minimization algorithms. A conjunction should be eliminated (or, on the contrary, retained until th
22 KB (3,328 words) - 08:31, 26 March 2023
==Algorithms==
...se. The content of this term depends on the possibilities of computational algorithms and on the characteristics of the computer employed, such as the amount of
12 KB (1,882 words) - 22:25, 1 September 2016
...n)$ steps using $n$ processors. The relative simplicity of parallelization algorithms for expressions allows one to realize them automatically on a computer usin
...devices, etc.). On this level, automatic parallelization requires complex algorithms for the analysis of problems and has to take into account dynamic situation
11 KB (1,714 words) - 03:17, 5 June 2016
...amines and classifies subsets of natural numbers from the point of view of algorithms, and also studies the structures arising as a result of such a classificati
...TD></TR><TR><TD valign="top">[8]</TD> <TD valign="top"> A.I. Mal'tsev, "Algorithms and recursive functions" , Wolters-Noordhoff (1970) (Translated from Russ
16 KB (2,323 words) - 08:10, 6 June 2020
[[Category:Algorithms]]
2 KB (387 words) - 15:16, 20 November 2014
...utations is exploited in order to devise very effective numerical solution algorithms. Famous special cases are the Hilbert matrix and Hilbert–Hankel operator,
...ction to the theory of formal orthogonal polynomials in the context of the algorithms of numerical analysis, including Lanczos' tridiagonalization process, ratio
14 KB (2,126 words) - 16:45, 1 July 2020
Among the well-known extrapolation algorithms, there is also the
$h^2$. Note that, sometimes, extrapolation algorithms are able to sum
11 KB (1,808 words) - 21:52, 5 March 2012
...ddition, subtraction, multiplication and division are algorithms; in these algorithms the possible results are non-negative integers written in the decimal syste
...eneral graphs. Intuitively, the least requirement on inputs and results of algorithms is that they must be constructive objects (cf. [[Constructive object|Constr
18 KB (2,796 words) - 19:10, 11 December 2020
.... The term is often understood to mean the theory of numerical methods and algorithms for the solution of typical mathematical problems. This meaning was in fact
...lysis of mathematical models. The second is the development of methods and algorithms for solving typical mathematical problems involved in the investigation of
13 KB (1,892 words) - 20:11, 31 December 2018
...esses is presented in [[#References|[a5]]]. For applications of prediction algorithms in the applied sciences see [[#References|[a1]]].
6 KB (908 words) - 08:23, 6 June 2020
...a3]]], [[#References|[a5]]], [[#References|[a9]]]. Most of these automatic algorithms use one or several estimates for $R_n$ of the type (a4), which often are ob
7 KB (1,043 words) - 19:57, 4 February 2024
...gorithms such as Monte-Carlo methods, stochastic particle methods, ergodic algorithms, etc. (cf. also [[Differential equation, partial|Differential equation, par
...particles are dependent. For theoretical aspects related to probabilistic algorithms for partial differential equations, including the [[Boltzmann equation|Bolt
9 KB (1,338 words) - 08:01, 6 June 2020
In economic algorithms for the inversion of Toeplitz matrices (see [[#References|[3]]], for exampl
...plitz matrices by vectors and a subtraction of vectors. There are economic algorithms for the multiplication of Toeplitz matrices by vectors, requiring (for orde
11 KB (1,584 words) - 22:13, 5 June 2020
...lign="top">[5]</TD> <TD valign="top"> A.I. Orlov, "On the comparison of algorithms for classifying by results observations of actual data" ''Dokl. Moskov. Ob
3 KB (370 words) - 20:32, 16 January 2024
...<TR><TD valign="top">[2]</TD> <TD valign="top"> A.A. Markov, "Theory of algorithms" , Israel Program Sci. Transl. (1961) (Translated from Russian) (Also: T
3 KB (386 words) - 22:13, 5 June 2020
...are usually called descent methods. The third group of methods consists of algorithms which use second derivatives of the functional.
3 KB (434 words) - 08:00, 6 June 2020
...erties of this method include the simplicity and the natural nature of its algorithms, as well as the fact that modifications can be made in the light of new inf
...ies of the particles: neutrons, photons, gamma-quanta, electrons, etc. The algorithms of statistical modelling for solving problems of atmospheric optics (see [[
7 KB (1,015 words) - 17:27, 7 February 2011
...al problems are simpler and practically more convenient than the available algorithms for solving the same problems for partial differential equations. The varia
7 KB (969 words) - 17:33, 5 June 2020
...ho, J.E. Hopcroft, J.D. Ullman, "The design and analysis of computer algorithms" , Addison-Wesley (1976)</TD></TR>
...="top">[a3]</TD> <TD valign="top"> M. Gondran, M. Minoux, "Graphes et algorithms" , Ed. Eyrolles (1979; 1988)</TD></TR>
7 KB (1,026 words) - 20:42, 16 November 2023
This approach to constructing computation algorithms can be extended to problems of hydrodynamics with heat conduction, to elast
3 KB (431 words) - 10:52, 16 April 2014
...l complexity, or the complexity of some specific but practically important algorithms and problems. One is referred to [[#References|[a5]]]–[[#References|[a7]]
have no best algorithms: For every person's favourite algorithm $ f _ {i} $,
20 KB (3,105 words) - 17:46, 4 June 2020
...both false accepts and rejects, i.e. false answers at all, one has to use algorithms belonging to the complexity class $\mathrm{ZPP}$.
In the same way, algorithms belonging to the complexity class $\mathrm{coRP}$ can be modified.
12 KB (1,954 words) - 17:47, 26 December 2013
...<TR><TD valign="top">[2]</TD> <TD valign="top"> A.A. Markov, "Theory of algorithms" , Israel Program Sci. Transl. (1961) (Translated from Russian) (Also: T
3 KB (462 words) - 20:23, 31 July 2014
...ective computational procedure is suitably formalized, as in the theory of algorithms.
3 KB (490 words) - 22:33, 10 January 2016
...ntionally called algorithms (in the present context, one is concerned with algorithms operating on words).
...treatment of existential statements leads to the necessity of considering algorithms. The assertion that a constructive objects with a given property exists, th
20 KB (2,913 words) - 07:40, 14 August 2023
Algorithms are known for finding all classes of boundary forms. In particular, the Vor
3 KB (421 words) - 22:10, 5 June 2020
...f. [[Recursive function|Recursive function]]) is realized in the theory of algorithms. One of the general methods for constructing such hierarchies is based on d
...]</TD> <TD valign="top"> , ''Problems of mathematical logic. Complexity of algorithms and of classes of computable functions'' , Moscow (1970) (In Russian; tra
9 KB (1,244 words) - 22:10, 5 June 2020
...of programming them relies, to a large extent, on ideas from the theory of algorithms and mathematical cybernetics. In turn, practical work with computers poses
...valign="top">[5]</TD> <TD valign="top"> , ''Complexity of computations and algorithms'' , Moscow (1974) (In Russian; translated from English) (Collection of t
18 KB (2,656 words) - 04:11, 6 June 2020
...ity of an|Algorithm, computational complexity of an]]). In practice, exact algorithms are used for solving only moderately sized problem instances. This results
...M.G.C. Resende, "Parallel search for combinatorial optimization: genetic algorithms, simulated annealing, tabu search and GRASP" , ''Lecture Notes in Computer
10 KB (1,422 words) - 08:14, 6 June 2020
...e algorithms of variable directions have been proposed and examined. These algorithms are economic in the sense that the number of arithmetic operations necessar
18 KB (2,500 words) - 06:21, 12 October 2023
...hich connect this pair of vertices. Criteria have been found and effective algorithms have been developed for the establishment of the degree of connectivity of
cf. [[Flow in a network|Flow in a network]]). Various effective algorithms for finding the maximum flow have been developed.
13 KB (1,976 words) - 20:08, 15 March 2023
A method for obtaining a class of iteration algorithms (cf. [[Iteration algorithm|Iteration algorithm]]) for finding a simple real
3 KB (505 words) - 14:56, 14 February 2020
...decoding|coding and decoding]]; [[Combinatorics|combinatorics]]; geometric algorithms, and other areas.
3 KB (421 words) - 22:15, 5 June 2020
...ence are usually described by a transitive anti-reflexive binary relation. Algorithms for the evaluation of characteristics of large partially ordered sets of jo
...ical programming]] are often applicable to the development of optimization algorithms of this kind. Work on $ {\mathcal N} {\mathcal P} $-
21 KB (3,117 words) - 10:04, 18 February 2021
...tic translation]]). In mathematical linguistics methods of the theories of algorithms, automata and algebra are widely used. Keeping its applied sense, mathemati
...Therefore it is suitable not to construct deterministic effective systems (algorithms) but to construct non-deterministic systems (calculi), which allow either f
14 KB (2,122 words) - 17:14, 3 November 2014
The practical search of extrema uses iterative algorithms of the form:
...and parallel computation of an extremum by several methods, composition of algorithms of the form $ \widehat{X} = \widehat{X} _ {2} ( \widehat{X} _ {1} ( \c
13 KB (1,911 words) - 08:00, 6 June 2020
...ve sequence of rational numbers is treated the same way. Schemes of normal algorithms can be uniquely coded by words over the alphabet $ \{ 0 , 1 \} $.
...r and equality, as well as the arithmetical operations (these are given by algorithms). The system of constructive real numbers with these order and equality rel
20 KB (2,978 words) - 19:15, 18 January 2024
The idempotent correspondence principle is also valid for algorithms and their software and hardware implementations (cf. [[Idempotent algorithm
4 KB (499 words) - 20:46, 16 November 2023
...1]</TD> <TD valign="top"> J. Céa, "Lectures on optimization: theory and algorithms" , Springer (1978)</TD></TR><TR><TD valign="top">[12]</TD> <TD valign="top
...TD valign="top"> E.R. Edge, W.F. Powers, "Function-space quasi-Newton algorithms for optimal control problems with bounded controls and singular arcs" ''J.
22 KB (3,158 words) - 19:38, 5 June 2020
.... Comprehensive introductions to quantum computation and the known quantum algorithms may be found in [[#References|[a2]]], [[#References|[a1]]].
...quantum circuits) are preferred for describing and investigating specific algorithms. To obtain a quantum version of a classical model of deterministic computat
15 KB (2,154 words) - 17:45, 1 July 2020
...valign="top"> V.V. Voevodin, "Numerical methods of algebra. Theory and algorithms" , Moscow (1966) (In Russian)</TD></TR><TR><TD valign="top">[2]</TD> <TD
4 KB (619 words) - 08:04, 6 June 2020
Convergence properties of stochastic approximation and other recursive algorithms have been the subject of much research. One approach is the "ordinary diff
...[a2]</TD> <TD valign="top"> L. Ljung, "Analysis of recursive stochastic algorithms" ''IEEE Trans. Autom. Control'' , '''AC-22''' (1977) pp. 551–575</TD><
9 KB (1,349 words) - 08:23, 6 June 2020
There exist algorithms for the approximate construction of polynomials of best uniform approximati
6 KB (907 words) - 08:06, 6 June 2020
...etc.). A process has attributes (data structure) and a program of actions (algorithms). The model works on the principle of quasi-parallelism: at every moment on
3 KB (533 words) - 17:14, 7 February 2011
...><TR><TD valign="top">[21]</TD> <TD valign="top"> V.V. Ivanov, "Optimal algorithms for the numerical solution of singular integral equations" , ''Continuum Me
20 KB (2,838 words) - 19:21, 13 January 2024
...top">[a6]</TD> <TD valign="top"> J. O'Rourke, "Art gallery theorems and algorithms" , Oxford Univ. Press (1987)</TD></TR><TR><TD valign="top">[a7]</TD> <TD v
3 KB (541 words) - 12:32, 27 August 2014
...f an electrical circuit. Later [[Pattern recognition|pattern recognition]] algorithms were developed on the basis of tests. The test approach can be applied succ
There is an abundance of algorithms for the construction of minimal tests. For example, for absolute tests by e
22 KB (3,351 words) - 08:25, 6 June 2020
.../TR><TR><TD valign="top">[a5]</TD> <TD valign="top"> N.G. de Bruijn, "Some algorithms for ordering a sequence of objects, with application to E. Sparre Andersen'
4 KB (549 words) - 18:47, 5 April 2020
...as Toeplitz, Hankel, Vandermonde, Cauchy, and Pick matrices. Several fast algorithms have been devised over the years to exploit these special structures. Howev
...problems and the displacement theory gives new and efficient computational algorithms for solving a variety of such problems (see, e.g., [[#References|[a2]]] and
21 KB (3,255 words) - 20:20, 13 January 2021
..."top">[a10]</TD> <TD valign="top"> M. Gondran, M. Minoux, "Graphs and algorithms" , Wiley (1986) pp. Chapt. 5 (Translated from French)</TD></TR><TR><TD v
10 KB (1,474 words) - 14:32, 7 June 2020
.... Bach, "Analytic methods in the analysis and design of number-theoretic algorithms" , MIT (1985)</TD></TR>
3 KB (516 words) - 17:58, 8 November 2014
...morphism between graphs is an important problem in graph theory. There are algorithms for certain classes of graphs with the aid of which isomorphism can be fair
4 KB (648 words) - 17:28, 18 October 2014
...<td valign="top"> H.G. Feichtinger, Th. Strohmer, "Gabor analysis and algorithms" , Birkhäuser (1998)</td></tr></table>
4 KB (543 words) - 17:00, 1 July 2020
There exist algorithms by means of which it is possible to tell whether a language generated by so
for which there are no algorithms by which it is possible to recognize, for arbitrary strings $ x $
14 KB (2,055 words) - 07:50, 18 November 2023
...3]</TD> <TD valign="top"> A.A. Markov, "On the impossibility of certain algorithms in the theory of associative systems" ''C.R. Acad. Sci. URSS'' , '''55'''
9 KB (1,391 words) - 18:48, 5 April 2020
...p"> D.E. Knuth, "The art of computer programming" , '''2: Seminumerical algorithms''' , Addison-Wesley (1998) (Edition: Third)</td></tr><tr><td valign="top"
11 KB (1,706 words) - 18:55, 24 January 2024
...za, "The acyclic orientation game on random graphs" ''Random Structures Algorithms'' , '''6''' (1995) pp. 261–268 (Proc. Sixth Internat. Sem. Random Grap
10 KB (1,497 words) - 06:32, 26 March 2023
...of inversion procedures, as well as the development of efficient numerical algorithms. In tomography a fundamental role is played by the [[Radon transform|Radon
==Reconstruction algorithms.==
16 KB (2,342 words) - 17:25, 13 June 2020
is usually obtained on a computer by number-theoretic algorithms, of which the most widely used is the so-called method of residues, for exa
...cesses in technology, biology; etc. (see [[#References|[18]]]). Simulation algorithms are usually carefully developed; for example, they tabulate complicated fun
24 KB (3,433 words) - 13:09, 13 January 2024
...Salamin–Brent algorithm. There are also corresponding cubic, quartic, etc. algorithms, [[#References|[a2]]].
4 KB (562 words) - 16:57, 1 July 2020
The collection of programs and program complexes by means of which: the algorithms in a program of a user, written in a high-level algorithmic language, are t
...fact, computer instructions, from the point of view of being able to write algorithms, are very elementary operations, and writing down an algorithm (programming
19 KB (2,814 words) - 17:16, 7 February 2011
...gorithmic approach to the Lovász local lemma, I" , ''Random Structures and Algorithms'' , '''2''' (1991) pp. 343–365 {{ZBL|0756.05080}}</TD></TR>
4 KB (586 words) - 19:47, 18 December 2014
...7]]] that this foundational system was inconsistent, the part dealing with algorithms only was isolated as the (type-free) lambda calculus. It turned out to be q
terms can be used to represent algorithms, types serve to keep an order in these representing terms. (A similar role
15 KB (2,306 words) - 16:57, 1 July 2020
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> A.I. Mal'tsev, "Algorithms and recursive functions" , Wolters-Noordhoff (1970) (Translated from Russ
5 KB (727 words) - 15:34, 4 March 2022
...ies coincide. For channels with complete feedback, (en)coding and decoding algorithms have been proposed that are simple to describe and highly effective.
5 KB (739 words) - 16:43, 4 June 2020
...References|[a6]]]). Quick-sort is one of the most extensively investigated algorithms. To sort $n$ data items, it shows a quadratic worst-case and a $\Theta( n \
...arge variation of behaviour has been observed for different satisfiability algorithms (for an overview, see [[#References|[a19]]]). For certain distributions the
21 KB (3,198 words) - 18:47, 11 December 2020
...td> <td valign="top"> N.J. Higham, "Accuracy and stability of numerical algorithms" , SIAM (Soc. Industrial Applied Math.) (1996)</td></tr></table>
5 KB (740 words) - 17:44, 1 July 2020
...8)</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> H. Brent, "Algorithms for minimization without derivatives" , Prentice-Hall (1973)</TD></TR><TR>
5 KB (774 words) - 17:33, 5 June 2020
...sign. Stochastic programming methods can also be used to adapt systems and algorithms to random changes in the state of the medium in which they operate. Stochas
5 KB (768 words) - 13:11, 3 May 2016
The use of adaptive algorithms is widespread. Often these methods are based on a way to estimate the error
4 KB (650 words) - 15:07, 14 February 2020
Along with the methods described above, algorithms of another class, so called power methods, have been developed. The most ef
...ethods for solving positive-definite linear systems, and leads to the same algorithms: coordinate relaxation, sequential overrelaxation, steepest descent, and co
19 KB (2,830 words) - 19:42, 27 February 2021
...as benchmarks in the design, accuracy testing, and comparison of numerical algorithms.
...of PDEs into involutive form). Modern implementations of "triangulation" algorithms use a differential version of the [[Gröbner basis|Gröbner basis]] algorit
23 KB (3,178 words) - 22:16, 5 June 2020