Vectorization (Mathematics): Mathematics, Linear Algebra, Matrix Theory, Linear Transformation, Matrix (Mathematics) - Tapa blanda

Vectorization (Mathematics)

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsespecially in linear algebra and matrix theory, the vectorization of amatrix is a linear transformation which converts the matrix into acolumn vector. For a symmetric matrix A, the vector vec(A) contains moreinformation than is strictly necessary, since the matrix is completelydetermined by the symmetry together with the lower triangular portionthat is, the n(n+1)/2 entries on and below the main diagonal. For suchmatrices, the half-vectorization is sometimes more useful than thevectorization. There exist unique matrices transforming thehalf-vectorization of a matrix to its vectorization and vice-versacalled, respectively, the duplication matrix and the elimination matrix.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 100 pp. Englisch. Nº de ref. del artículo: 9786131136979

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