17 relations: Arnold Schönhage, Carl Gustav Jacob Jacobi, Crelle's Journal, Diagonal, Eigenvalues and eigenvectors, Givens rotation, Hilbert matrix, Iterative method, Jacobi method for complex Hermitian matrices, Jacobi rotation, Mathematics of Computation, Matrix norm, Matrix similarity, Numerical linear algebra, Real number, Round-off error, Symmetric matrix.
Arnold Schönhage (born 1 December 1934 in Lockhausen, now Bad Salzuflen, Free State of Lippe) is a German mathematician and computer scientist.
Carl Gustav Jacob Jacobi (10 December 1804 – 18 February 1851) was a German mathematician, who made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.
Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge.
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
In numerical linear algebra, a Givens rotation is a rotation in the plane spanned by two coordinates axes.
In linear algebra, a Hilbert matrix, introduced by, is a square matrix with entries being the unit fractions For example, this is the 5 × 5 Hilbert matrix: 1 & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \\ \frac & \frac & \frac & \frac & \frac \end.
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.
In mathematics, the Jacobi method for complex Hermitian matrices is a generalization of the Jacobi iteration method.
In numerical linear algebra, a Jacobi rotation is a rotation, Qkℓ, of a 2-dimensional linear subspace of an n-dimensional inner product space, chosen to zero a symmetric pair of off-diagonal entries of an n×n real symmetric matrix, A, when applied as a similarity transformation: \begin \end \to \begin \end.
Mathematics of Computation is a bimonthly mathematics journal focused on computational mathematics.
In mathematics, a matrix norm is a vector norm in a vector space whose elements (vectors) are matrices (of given dimensions).
In linear algebra, two n-by-n matrices and are called similar if for some invertible n-by-n matrix.
Numerical linear algebra is the study of algorithms for performing linear algebra computations, most notably matrix operations, on computers.
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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.
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.