Journal ArticleDOI
The Number of Solutions to the Matrix Equation XAXT = C, A and C Nonalternate and of Full Rank, Over GF (2y)
Reads0
Chats0
About:
This article is published in Mathematische Nachrichten.The article was published on 1974-01-01. It has received 5 citations till now. The article focuses on the topics: Square root of a 2 by 2 matrix & Pascal matrix.read more
Citations
More filters
Journal ArticleDOI
Generalized inverses of matrices over fields of characteristic two
TL;DR: In this paper, the problem of determining which m × n matrices of rank r have normalized generalized inverses and which have pseudoinverses is solved for F q a finite field of characteristic two.
Journal ArticleDOI
On the Consistency of the Matrix Equation $$X^\top A X=B$$ X ⊤ A X = B when B is Symmetric
TL;DR: In this article, the authors provide necessary and sufficient conditions for the matrix equation to be consistent when B is a symmetric matrix, for all matrices A with a few exceptions.
Journal ArticleDOI
On the consistency of the matrix equation $$X^\top A X=B$$ X ⊤ A X =
TL;DR: In this paper , a necessary and sufficient condition for the matrix equation $$X^\top AX=B$$ was proposed, which depends on the canonical form for congruence of the matrix A , and is proved to be necessary for all matrices A and sufficient for most of them.
Journal ArticleDOI
Representations by Quadratic Forms in a Finite Field of Characteristic Two
On the consistency of the matrix equation X (cid:2) AX = B when B is symmetric: the case where CFC( A ) includes skew-symmetric blocks
TL;DR: In this paper , the authors proposed a method to solve the problem of the problem: this paper ] of "uniformity" of the distribution of data points in the data set.
References
More filters
Journal ArticleDOI
Symmetric and alternate matrices in an arbitrary field. I
TL;DR: In this article, it was shown that the classical treatment of symmetric and alternate matrices can be shown to hold for matrices whose elements are in any algebraically closed field whose characteristic is not two.