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 = [...

Johnson (2013). Matrix Analysis (2nd ed.). Cambridge University Press. p. 6. ISBN 978-0-521-54823-6. Peter Stingl (1996). Mathematik für Fachhochschulen...

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...

"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...

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

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

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...

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

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:...

S2CID 121036103. Lehnigk, Siegfried H. (1970). "On the Hurwitz matrix". Zeitschrift für Angewandte Mathematik und Physik. 21 (3): 498–500. Bibcode:1970ZaMP...21....

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

Mathematik". Homepage. European Mathematical Society Publishing House. Retrieved 3 October 2016. "Elemente der Mathematik". MIAR: Information Matrix for...

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...

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

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

determinant of an m-by-m skew-symmetric matrix can always be written as the square of a polynomial in the matrix entries, a polynomial with integer coefficients...

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}}...

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...

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...

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...

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...

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

{\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....

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...

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...

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

Igor Shafarevich. He became a professor at the Max-Planck-Institut für Mathematik in Bonn, where he was director from 1992 to 2005 and then director emeritus...