Notes on wavelet-like basis 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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Let V be an n-dimensional real (or complex) vector space. Vectors that live in V are usually represented by a single column of n real (or complex) numbers. Linear operators act on vectors and are represented by square n×n real (or complex) matrices. If it is not specified, the representations of vectors and matrices described above implicitly assume that the standard basis has been chosen. That...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2000
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00194-2