- Sylvester matrix
- матрица f Сильвестра
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Sylvester matrix
Смотреть что такое "Sylvester matrix" в других словарях:
Sylvester matrix — In mathematics, a Sylvester matrix is a matrix associated to two polynomials that gives us some information about those polynomials. It is named for James Joseph Sylvester.DefinitionFormally, let p and q be two polynomials, respectively of degree … Wikipedia
Matrix theory — is a branch of mathematics which focuses on the study of matrices. Initially a sub branch of linear algebra, it has grown to cover subjects related to graph theory, algebra, combinatorics, and statistics as well.HistoryThe term matrix was first… … Wikipedia
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
Sylvester's formula — In matrix theory, Sylvester s formula, named after James Joseph Sylvester, expresses matrix functions in terms of the eigenvalues and eigenvectors of a matrix. It is only valid for diagonalizable matrices; an extension due to Buchheim covers the… … Wikipedia
Sylvester-Kriterium — Definitheit ist ein Begriff aus dem mathematischen Teilgebiet der linearen Algebra. Er beschreibt, welche Vorzeichen reelle quadratische Formen annehmen können, die durch Matrizen oder allgemeiner durch Bilinearformen erzeugt werden.… … Deutsch Wikipedia
Sylvester'scher Trägheitssatz — Der Trägheitssatz von Sylvester oder Sylvester scher Trägheitssatz benannt nach James Joseph Sylvester ist ein Resultat aus der linearen Algebra. Dieser Satz macht eine Aussage über Invarianten darstellender Matrizen von symmetrischen… … Deutsch Wikipedia
Sylvester’scher Trägheitssatz — Der Trägheitssatz von Sylvester oder Sylvester scher Trägheitssatz benannt nach James Joseph Sylvester ist ein Resultat aus der linearen Algebra. Dieser Satz macht eine Aussage über Invarianten darstellender Matrizen von symmetrischen… … Deutsch Wikipedia
Sylvester equation — In control theory, the Sylvester equation is the matrix equation of the form:A X + X B = C,where A,B,X,C are n imes n matrices.Existence and uniqueness of the solutionUsing the Kronecker product notation and the vectorization operator… … Wikipedia
matrix — /may triks, ma /, n., pl. matrices /may tri seez , ma /, matrixes. 1. something that constitutes the place or point from which something else originates, takes form, or develops: The Greco Roman world was the matrix for Western civilization. 2.… … Universalium
Sylvester's law of inertia — In linear algebra, Sylvester s law of inertia is a theorem describing a canonical representative for a real symmetric matrix under congruence transformations. It is named for J. J. Sylvester who stated and proved it in 1852.The theorem states… … Wikipedia
Matrix congruence — In mathematics, two matrices A and B over a field are called congruent if there exists an invertible matrix P over the same field such that PTAP = B where T denotes the matrix transpose. Matrix congruence is an equivalence relation. Matrix… … Wikipedia
