Faster access than browser!
39 relations: Algorithm, Attractor, Basis (linear algebra), Biconjugate gradient method, Carl Friedrich Gauss, Computational mathematics, Conjugate gradient method, Cornelius Lanczos, David M. Young Jr., Differentiable function, Eduard Stiefel, Fixed point (mathematics), Gauss–Seidel method, Gaussian elimination, Generalized minimal residual method, Heuristic, Invertible matrix, Iterative method, Jacobi method, Krylov subspace, Magnus Hestenes, Matrix splitting, Modified Richardson iteration, Nonlinear system, Operator (mathematics), Partial differential equation, Positive-definite matrix, Preconditioner, Relaxation (iterative method), Residual (numerical analysis), Root-finding algorithm, Round-off error, Spectral radius, Spectrum (functional analysis), Successive over-relaxation, Symmetric matrix, Symmetric successive over-relaxation, System of linear equations, Triangular matrix.
Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
New!!: Iterative method and Algorithm · See more »
Attractor
In the mathematical field of dynamical systems, an attractor is a set of numerical values toward which a system tends to evolve, for a wide variety of starting conditions of the system.
New!!: Iterative method and Attractor · See more »
Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
New!!: Iterative method and Basis (linear algebra) · See more »
Biconjugate gradient method
In mathematics, more specifically in numerical linear algebra, the biconjugate gradient method is an algorithm to solve systems of linear equations Unlike the conjugate gradient method, this algorithm does not require the matrix A to be self-adjoint, but instead one needs to perform multiplications by the conjugate transpose.
New!!: Iterative method and Biconjugate gradient method · See more »
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
New!!: Iterative method and Carl Friedrich Gauss · See more »
Computational mathematics
Computational mathematics may refer to two different aspect of the relation between computing and mathematics.
New!!: Iterative method and Computational mathematics · See more »
Conjugate gradient method
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is symmetric and positive-definite.
New!!: Iterative method and Conjugate gradient method · See more »
Cornelius Lanczos
Cornelius (Cornel) Lanczos (Lánczos Kornél,, born as Kornél Lőwy, until 1906: Löwy (Lőwy) Kornél) was a Jewish Hungarian mathematician and physicist, who was born on February 2, 1893, and died on June 25, 1974.
New!!: Iterative method and Cornelius Lanczos · See more »
David M. Young Jr.
David M. Young Jr. (October 20, 1923 – December 21, 2008) was an American mathematician and computer scientist who was one of the pioneers in the field of modern numerical analysis/scientific computing.
New!!: Iterative method and David M. Young Jr. · See more »
Differentiable function
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
New!!: Iterative method and Differentiable function · See more »
Eduard Stiefel
Eduard L. Stiefel (21 April 1909 – 25 November 1978) was a Swiss mathematician.
New!!: Iterative method and Eduard Stiefel · See more »
Fixed point (mathematics)
In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.
New!!: Iterative method and Fixed point (mathematics) · See more »
Gauss–Seidel method
In numerical linear algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.
New!!: Iterative method and Gauss–Seidel method · See more »
Gaussian elimination
In linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations.
New!!: Iterative method and Gaussian elimination · See more »
Generalized minimal residual method
In mathematics, the generalized minimal residual method (GMRES) is an iterative method for the numerical solution of a nonsymmetric system of linear equations.
New!!: Iterative method and Generalized minimal residual method · See more »
Heuristic
A heuristic technique (εὑρίσκω, "find" or "discover"), often called simply a heuristic, is any approach to problem solving, learning, or discovery that employs a practical method, not guaranteed to be optimal, perfect, logical, or rational, but instead sufficient for reaching an immediate goal.
New!!: Iterative method and Heuristic · See more »
Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
New!!: Iterative method and Invertible matrix · See more »
Iterative method
In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones.
New!!: Iterative method and Iterative method · See more »
Jacobi method
In numerical linear algebra, the Jacobi method (or Jacobi iterative method) is an algorithm for determining the solutions of a diagonally dominant system of linear equations.
New!!: Iterative method and Jacobi method · See more »
Krylov subspace
In linear algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by the images of b under the first r powers of A (starting from A^0.
New!!: Iterative method and Krylov subspace · See more »
Magnus Hestenes
Magnus Rudolph Hestenes (February 13, 1906 – May 31, 1991) was an American mathematician.
New!!: Iterative method and Magnus Hestenes · See more »
Matrix splitting
In the mathematical discipline of numerical linear algebra, a matrix splitting is an expression which represents a given matrix as a sum or difference of matrices.
New!!: Iterative method and Matrix splitting · See more »
Modified Richardson iteration
Modified Richardson iteration is an iterative method for solving a system of linear equations.
New!!: Iterative method and Modified Richardson iteration · See more »
Nonlinear system
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.
New!!: Iterative method and Nonlinear system · See more »
Operator (mathematics)
In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.
New!!: Iterative method and Operator (mathematics) · See more »
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
New!!: Iterative method and Partial differential equation · See more »
Positive-definite matrix
In linear algebra, a symmetric real matrix M is said to be positive definite if the scalar z^Mz is strictly positive for every non-zero column vector z of n real numbers.
New!!: Iterative method and Positive-definite matrix · See more »
Preconditioner
In mathematics, preconditioning is the application of a transformation, called the preconditioner, that conditions a given problem into a form that is more suitable for numerical solving methods.
New!!: Iterative method and Preconditioner · See more »
Relaxation (iterative method)
In numerical mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems.
New!!: Iterative method and Relaxation (iterative method) · See more »
Residual (numerical analysis)
Loosely speaking, a residual is the error in a result.
New!!: Iterative method and Residual (numerical analysis) · See more »
Root-finding algorithm
In mathematics and computing, a root-finding algorithm is an algorithm for finding roots of continuous functions.
New!!: Iterative method and Root-finding algorithm · See more »
Round-off error
A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value due to rounding.
New!!: Iterative method and Round-off error · See more »
Spectral radius
In mathematics, the spectral radius of a square matrix or a bounded linear operator is the largest absolute value of its eigenvalues (i.e. supremum among the absolute values of the elements in its spectrum).
New!!: Iterative method and Spectral radius · See more »
Spectrum (functional analysis)
In mathematics, particularly in functional analysis, the spectrum of a bounded operator is a generalisation of the set of eigenvalues of a matrix.
New!!: Iterative method and Spectrum (functional analysis) · See more »
Successive over-relaxation
In numerical linear algebra, the method of successive over-relaxation (SOR) is a variant of the Gauss–Seidel method for solving a linear system of equations, resulting in faster convergence.
New!!: Iterative method and Successive over-relaxation · See more »
Symmetric matrix
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.
New!!: Iterative method and Symmetric matrix · See more »
Symmetric successive over-relaxation
In applied mathematics, symmetric successive over-relaxation (SSOR), is a preconditioner.
New!!: Iterative method and Symmetric successive over-relaxation · See more »
System of linear equations
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables.
New!!: Iterative method and System of linear equations · See more »
Triangular matrix
In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.
New!!: Iterative method and Triangular matrix · See more »
Redirects here:
Direct method (computational mathematics), Iteration algorithm, Iteration methods, Iteration scheme, Iterative algorithm, Iterative approximation, Iterative convergence, Iterative methods, Iterative procedure, Iterative solver, Krylov subspace method, Krylov subspace methods.
References
[1] https://en.wikipedia.org/wiki/Iterative_method
