- matrix diagonalization
- диагонализация матрицы
The New English-Russian Dictionary of Radio-electronics. F.V Lisovsky . 2005.
matrix diagonalization
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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
diagonalization — noun changing a square matrix to diagonal form (with all non zero elements on the principal diagonal) the diagonalization of a normal matrix by a unitary transformation • Syn: ↑diagonalisation • Derivationally related forms: ↑diagonalise (for:… … Useful english dictionary
Diagonalization — In mathematics, diagonalization may refer to: Diagonal matrix, which is in a form with nonzero entries only on the main diagonal Diagonalizable matrix, which can be put into a form with nonzero entries only on the main diagonal Diagonal lemma,… … Wikipedia
matrix algebra — noun the part of algebra that deals with the theory of matrices • Topics: ↑mathematics, ↑math, ↑maths • Members of this Topic: ↑diagonalization, ↑diagonalisation • Hypernyms: ↑algebra … Useful english dictionary
Diagonalizable matrix — In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P −1AP is a diagonal matrix. If V is a finite dimensional vector space, then a linear … Wikipedia
Density matrix renormalization group — The density matrix renormalization group (DMRG) is a numerical variational technique devised to obtain the low energy physics of quantum many body systems with high accuracy. It was invented in 1992 by Steven R. White and it is nowadays the most… … Wikipedia
Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… … Wikipedia
Square root of a matrix — In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product B · B is equal to A.[1] Contents 1 Properties 2 Computation methods … Wikipedia
Orthogonal diagonalization — In linear algebra, an orthogonal diagonalization of a square matrix is a diagonalization by means of an orthogonal change of coordinates. The following is an orthogonal diagonalization algorithm that diagonalizes a quadratic form q(x) on Rn by… … Wikipedia
Jordan matrix — In the mathematical discipline of matrix theory, a Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix which is composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element… … Wikipedia
Circulant matrix — In linear algebra, a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector. In numerical analysis, circulant matrices are important because they are… … Wikipedia
