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 = [...

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...

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...

"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...

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...

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...

(2012). Matrix analysis. Cambridge University Press. Davis, Chandler (1962). "The norm of the Schur product operation". Numerische Mathematik. 4 (1):...

details Sparse matrix–vector multiplication Volker Strassen (Aug 1969). "Gaussian elimination is not optimal". Numerische Mathematik. 13 (4): 354–356...

Mathematik. 14 (5): 403–420. doi:10.1007/BF02163027. MR 1553974. S2CID 123532178. Banerjee, Sudipto; Roy, Anindya (2014), Linear Algebra and Matrix Analysis...

Hall. Lehnigk, Siegfried H. (1970). "On the Hurwitz matrix". Zeitschrift für Angewandte Mathematik und Physik. 21 (3): 498–500. Bibcode:1970ZaMP...21....

block matrix. It is a specialization of the tensor product (which is denoted by the same symbol) from vectors to matrices and gives the matrix of the...

Sophus (1876), "Theorie der Transformations-Gruppen (I, II)", Archiv for Mathematik og Naturvidenskab, 1: 19–57, 152–193 Nijenhuis, Albert (1959). "Review:...

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...

für Mathematik und Physik. 43: 477–492. doi:10.1515/9783110835007.202. JFM 62.0112.01. Zbl 0013.34102. Manin, Ju. I. (1965). "The Hasse–Witt matrix of...

Berechung der reziproken Matrix". ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 13 (1): 57–59...

In matrix theory, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive...

In mathematics, a matrix group is a group G consisting of invertible matrices over a specified field K, with the operation of matrix multiplication. A...

In mathematics, a P-matrix is a complex square matrix with every principal minor is positive. A closely related class is that of P 0 {\displaystyle P_{0}}...

(1977), "Classical Banach Spaces I, Sequence Spaces", Ergebnisse der Mathematik und ihrer Grenzgebiete 92, Berlin: Springer-Verlag, ISBN 3-540-08072-4...

angewandte Mathematik.) We remark that the converse of the theorem holds in the following sense. If M {\displaystyle M} is a symmetric matrix and the Hadamard...

Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem". Elemente der Mathematik. 55 (1): 19–37. doi:10.1007/PL00000079. eISSN 1420-8962. ISSN 0013-6018...

algorithm for the eigenvalues and eigenvectors of a general complex matrix". Numerische Mathematik. 58 (1): 779–805. CiteSeerX 10.1.1.134.3566. doi:10.1007/BF01385654...

angennäherten Behandlung von Variationproblemen, ZAMM: Zeitschrift für angewandte Mathematik und Mechanik, Vol. 7, 80-81 (in German). Duncan, W.J.,1937, Galerkin’s...

J.; Husemoller, D. (1973). Symmetric Bilinear Forms. Ergebnisse der Mathematik und ihrer Grenzgebiete. Vol. 73. Springer-Verlag. ISBN 3-540-06009-X....

Eigenschwingungen statisch-bestimmter Fachwerke, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik 1, 28-42 (1921). Demmel, James W. (1997), Applied Numerical...

The Schur complement of a block matrix, encountered in linear algebra and the theory of matrices, is defined as follows. Suppose p, q are nonnegative integers...

matrix similarity. The row echelon form is a canonical form, when one considers as equivalent a matrix and its left product by an invertible matrix....

{\begin{matrix}V\\0\end{matrix}}} , Z 2 {\displaystyle {\begin{matrix}Z\\2\end{matrix}}} , C 31 {\displaystyle {\begin{matrix}C\\31\end{matrix}}} etc....

identity matrix, and ϵ {\displaystyle \epsilon } by any matrix whose square is the zero matrix; that is, in the case of 2×2 matrices, any nonzero matrix of...

is an n × n symmetric matrix; and superscript T denotes a matrix transpose. If A is diagonal this is equivalent to a non-matrix form containing solely...