Experiments on orthogonalization by biorthogonal representations of orthogonal projectors
نویسندگان
چکیده
منابع مشابه
Experiments on Gram-schmidt Orthogonalization
(3) In addition to solutions for | k | ^ 9999, we have solutions, for y ^ 104 and | k | g 99999; there are 1221 for positive k and 799 for negative k. The vast majority of solutions are with y < 100 and Table 2 gives the number of solutions for various ranges of y. The fact that the number of solutions is a rapidly decreasing function of y suggests that for at least some k the solution set may ...
متن کاملRecursive bi-orthogonalisation approach and orthogonal projectors
An approach is proposed which, given a family of linearly independent functions, constructs the appropriate bi-orthogonal set so as to represent the orthogonal projector operator onto the corresponding subspace. The procedure evolves iteratively and it is endowed with the following properties: i) it yields the desired bi-orthogonal functions avoiding the need of inverse operations ii) it allows...
متن کاملRevisiting Spherical Trigonometry with Orthogonal Projectors
Sudipto Banerjee ([email protected]) received his B.S. in Statistics from the University of Calcutta, India, an M.Stat. from the Indian Statistical Institute, Calcutta, and then his M.S. and Ph.D. from the University of Connecticut, Storrs. He is currently an Assistant Professor in the University of Minnesota, Minneapolis, where his research interests include spatial statistics and model...
متن کاملEqualities for orthogonal projectors and their operations
A complex square matrix A is called an orthogonal projector if A2 = A = A∗, where A∗ denotes the conjugate transpose of A. In this paper, we give a comprehensive investigation to matrix expressions consisting of orthogonal projectors and their properties through ranks of matrices. We first collect some well-known rank formulas for orthogonal projectors and their operations, and then establish v...
متن کاملOn the Zeros of Daubechies Orthogonal and Biorthogonal Wavelets
In the last decade, Daubechies’ wavelets have been successfully used in many signal processing paradigms. The construction of these wavelets via two channel perfect reconstruction filter bank requires the identification of necessary conditions that the coefficients of the filters and the roots of binomial polynomials associated with them should exhibit. In this paper, orthogonal and Biorthogona...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.05.029