ill-conditioned matrix

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• Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …   Wikipedia

• Matrix pencil — If are complex matrices for some nonnegative integer l, and (the zero matrix), then the matrix pencil of degree l is the matrix valued function defined on the complex numbers A particular case is a linear matrix pencil …   Wikipedia

• Invertible matrix — In linear algebra an n by n (square) matrix A is called invertible (some authors use nonsingular or nondegenerate) if there exists an n by n matrix B such that where In denotes the n by n identity matrix and the multiplication used is ordinary… …   Wikipedia

• Hilbert matrix — In linear algebra, a Hilbert matrix is a matrix with the unit fraction elements: H {ij} = frac{1}{i+j 1}. For example, this is the 5 times; 5 Hilbert matrix::H = egin{bmatrix} 1 frac{1}{2} frac{1}{3} frac{1}{4} frac{1}{5} [4pt] frac{1}{2}… …   Wikipedia

• Integer matrix — In mathematics, an integer matrix is a matrix whose entries are all integers. Examples include the binary matrix; the zero matrix; the unit matrix; the adjacency matrix used in graph theory, amongst many others. Integer matrices find frequent… …   Wikipedia

• Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression …   Wikipedia

• Linear least squares — is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments. The goals of linear least squares are to extract predictions from the… …   Wikipedia

• Linear least squares/Proposed — Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to observations obtained from experiments. Mathematically, it can be stated as the problem of… …   Wikipedia

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• Numerical analysis — Babylonian clay tablet BC 7289 (c. 1800–1600 BC) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/602 + 10/603 = 1.41421296...[1] Numerical analysis is the …   Wikipedia

• Tikhonov regularization — Tikhonov regularization, named for Andrey Tikhonov, is the most commonly used method of regularization of ill posed problems. In statistics, the method is known as ridge regression, and, with multiple independent discoveries, it is also variously …   Wikipedia