rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [...
99 KB (15,031 words) - 06:23, 11 October 2024
columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number...
41 KB (6,581 words) - 08:08, 13 October 2024
In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. One way to express...
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"Some properties of the Hessian matrix of a strictly convex function". Journal für die reine und angewandte Mathematik. 210: 67–72. doi:10.1515/crll.1962...
50 KB (8,593 words) - 21:33, 24 October 2024
Determinant (redirect from Matrix determinant)
square matrix. The determinant of a matrix A is commonly denoted det(A), det A, or |A|. Its value characterizes some properties of the matrix and the...
90 KB (14,257 words) - 20:47, 18 October 2024
details Sparse matrix–vector multiplication Volker Strassen (Aug 1969). "Gaussian elimination is not optimal". Numerische Mathematik. 13 (4): 354–356...
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In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to...
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Singular value decomposition (redirect from Matrix approximation)
Mathematik. 14 (5): 403–420. doi:10.1007/BF02163027. MR 1553974. S2CID 123532178. Banerjee, Sudipto; Roy, Anindya (2014), Linear Algebra and Matrix Analysis...
88 KB (14,045 words) - 20:05, 9 November 2024
In linear algebra, a Hilbert matrix, introduced by Hilbert (1894), is a square matrix with entries being the unit fractions H i j = 1 i + j − 1 . {\displaystyle...
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Hadamard product (matrices) (redirect from Hadamard product (matrix))
(2012). Matrix analysis. Cambridge University Press. Davis, Chandler (1962). "The norm of the Schur product operation". Numerische Mathematik. 4 (1):...
21 KB (2,702 words) - 10:15, 22 August 2024