Notes on F0-matrices
نویسندگان
چکیده
منابع مشابه
Notes on Simplification of Matrices
These notes discuss how to “simplify” an (n × n) matrix. From the point of view of the larger context of the course, the goal is to have a way to compute e for a given matrix A, which is useful in solving linear ODEs. This is a preliminary version. If you have any comments or corrections, even very minor ones, please let me know. Let us note that the definition of exponentials of matrices and t...
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ii Preface These notes deal with some interrelated topics involving linear algebra and geometry. The author would like to dedicate this modest monograph to Carlos " Charles " Tomei, whose influence is clearly visible. The author would also like to thank various other people for their comments and suggestions, and in particular a topics course concerning this material is taking place at Rice Uni...
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where N is written in block diagonal form with 2 × 2 matrices appearing along the diagonal, and the mj are real and positive. Moreover, detU = e , where −π < θ ≤ π, is uniquely determined. N is called the real normal form of a non-singular antisymmetric matrix [1–3]. If M is a complex [or real] singular antisymmetric d× d matrix of rank 2n (where d is either even or odd and d > 2n), then there ...
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1 Linear algebra and geometry on R, C If m, n are positive integers, we shall denote by L(R,R) the space of reallinear mappings from R to R, and by L(C,C) the space of complexlinear mappings from C to C. In the special case where m = n, we may simply write L(R), L(C), respectively. Also when m = n, we write I for the identity mapping on R or C, as appropriate. Using the standard basis for real ...
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In 1994, Cornuéjols and Novick published a classification of ideal and minimally non ideal circulant clutters. One of their main results for doing so relates contractions of these clutters, simple directed cycles in an appropriate graph, and algebraic conditions. The purpose of this paper is twofold: to correct a small inaccuracy of the necessity of the algebraic conditions in the original proo...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1990
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90265-e