Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

Bisection method

Index Bisection method

The bisection method in mathematics is a root-finding method that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. [1]

30 relations: Arrowhead matrix, Binary search algorithm, Bisect, Black–Derman–Toy model, Brent's method, Compact space, Divide and conquer algorithm, Eigenvalue algorithm, Extension (Mac OS), False position method, Flash evaporation, Interval arithmetic, Lehmer–Schur algorithm, List of algorithms, List of mathematics-based methods, List of numerical analysis topics, List of terms relating to algorithms and data structures, Location arithmetic, Newton's method, Numerical analysis, Parametric search, Quantile function, Quantitative analyst, Root-finding algorithm, Sea ice growth processes, Secant method, Shooting method, T-distributed stochastic neighbor embedding, Vincent's theorem, Ziggurat algorithm.

Arrowhead matrix

In the mathematical field of linear algebra, an arrowhead matrix is a square matrix containing zeros in all entries except for the first row, first column, and main diagonal, these entries can be any number.

New!!: Bisection method and Arrowhead matrix · See more »

Binary search algorithm

In computer science, binary search, also known as half-interval search,logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array.

New!!: Bisection method and Binary search algorithm · See more »

Bisect

Bisection is the general activity of dividing a geometric figure into two equal parts.

New!!: Bisection method and Bisect · See more »

Black–Derman–Toy model

In mathematical finance, the Black–Derman–Toy model (BDT) is a popular short rate model used in the pricing of bond options, swaptions and other interest rate derivatives; see Lattice model (finance) #Interest rate derivatives.

New!!: Bisection method and Black–Derman–Toy model · See more »

Brent's method

In numerical analysis, Brent's method is a root-finding algorithm combining the bisection method, the secant method and inverse quadratic interpolation.

New!!: Bisection method and Brent's method · See more »

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

New!!: Bisection method and Compact space · See more »

Divide and conquer algorithm

In computer science, divide and conquer is an algorithm design paradigm based on multi-branched recursion.

New!!: Bisection method and Divide and conquer algorithm · See more »

Eigenvalue algorithm

In numerical analysis, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix.

New!!: Bisection method and Eigenvalue algorithm · See more »

Extension (Mac OS)

On the classic Mac OS (the original Apple Macintosh operating system), extensions were small pieces of code that extended the system's functionality.

New!!: Bisection method and Extension (Mac OS) · See more »

False position method

False position method and regula falsi method are two early, and still current, names for a very old method for solving an equation in one unknown.

New!!: Bisection method and False position method · See more »

Flash evaporation

Flash (or partial) evaporation is the partial vapor that occurs when a saturated liquid stream undergoes a reduction in pressure by passing through a throttling valve or other throttling device.

New!!: Bisection method and Flash evaporation · See more »

Interval arithmetic

Interval arithmetic, interval mathematics, interval analysis, or interval computation, is a method developed by mathematicians since the 1950s and 1960s, as an approach to putting bounds on rounding errors and measurement errors in mathematical computation and thus developing numerical methods that yield reliable results.

New!!: Bisection method and Interval arithmetic · See more »

Lehmer–Schur algorithm

In mathematics, the Lehmer–Schur algorithm (named after Derrick Henry Lehmer and Issai Schur) is a root-finding algorithm extending the idea of enclosing roots like in the one-dimensional bisection method to the complex plane.

New!!: Bisection method and Lehmer–Schur algorithm · See more »

List of algorithms

The following is a list of algorithms along with one-line descriptions for each.

New!!: Bisection method and List of algorithms · See more »

List of mathematics-based methods

This is a list of mathematics-based methods.

New!!: Bisection method and List of mathematics-based methods · See more »

List of numerical analysis topics

This is a list of numerical analysis topics.

New!!: Bisection method and List of numerical analysis topics · See more »

List of terms relating to algorithms and data structures

The NIST Dictionary of Algorithms and Data Structures is a reference work maintained by the U.S. National Institute of Standards and Technology.

New!!: Bisection method and List of terms relating to algorithms and data structures · See more »

Location arithmetic

Location arithmetic (Latin arithmeticæ localis) is the additive (non-positional) binary numeral systems, which John Napier explored as a computation technique in his treatise Rabdology (1617), both symbolically and on a chessboard-like grid.

New!!: Bisection method and Location arithmetic · See more »

Newton's method

In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

New!!: Bisection method and Newton's method · See more »

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

New!!: Bisection method and Numerical analysis · See more »

Parametric search

In the design and analysis of algorithms for combinatorial optimization, parametric search is a technique invented by for transforming a decision algorithm (does this optimization problem have a solution with quality better than some given threshold?) into an optimization algorithm (find the best solution).

New!!: Bisection method and Parametric search · See more »

Quantile function

In probability and statistics, the quantile function specifies, for a given probability in the probability distribution of a random variable, the value at which the probability of the random variable is less than or equal to the given probability.

New!!: Bisection method and Quantile function · See more »

Quantitative analyst

A quantitative analyst (or, in financial jargon, a quant) is a person who specializes in the application of mathematical and statistical methods – such as numerical or quantitative techniques – to financial and risk management problems.

New!!: Bisection method and Quantitative analyst · See more »

Root-finding algorithm

In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.

New!!: Bisection method and Root-finding algorithm · See more »

Sea ice growth processes

Sea ice is a complex composite composed primarily of pure ice in various states of crystallization along with air bubbles and included pockets of brine.

New!!: Bisection method and Sea ice growth processes · See more »

Secant method

In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method can be thought of as a finite-difference approximation of Newton's method.

New!!: Bisection method and Secant method · See more »

Shooting method

In numerical analysis, the shooting method is a method for solving a boundary value problem by reducing it to the solution of an initial value problem.

New!!: Bisection method and Shooting method · See more »

T-distributed stochastic neighbor embedding

T-distributed Stochastic Neighbor Embedding (t-SNE) is a machine learning algorithm for visualization developed by Laurens van der Maaten and Geoffrey Hinton.

New!!: Bisection method and T-distributed stochastic neighbor embedding · See more »

Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.

New!!: Bisection method and Vincent's theorem · See more »

Ziggurat algorithm

The ziggurat algorithm is an algorithm for pseudo-random number sampling.

New!!: Bisection method and Ziggurat algorithm · See more »

Redirects here:

Bisection algorithm, Bisection search, Interval bisection, Interval halving, Interval halving converges linearly, Method of bisection.

References

[1] https://en.wikipedia.org/wiki/Bisection_method

OutgoingIncoming
Hey! We are on Facebook now! »