Two relations between oblique and Λ-orthogonal projectors
نویسندگان
چکیده
منابع مشابه
Constructive updating/downdating of oblique projectors
Recursive equations for updating and downdating oblique projectors are provided. The work is motivated by the problem of adaptive signal representation outside the orthogonal basis setting. The proposed techniques are shown to be relevant to the problem of discriminating signals produced by different phenomena when the order of the signal model needs to be adjusted.
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 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 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 کاملApplications of CS decomposition in linear combinations of two orthogonal projectors
We study the spectrum and the rank of a linear combination of two orthogonal projectors. We characterize when this linear combination is EP, diagonalizable, idempotent, tripotent, involutive, nilpotent, generalized projector, and hypergeneralized projector. Also we derive the Moore-Penrose inverse of a linear combination of two orthogonal projectors in a particular case. The main tool used here...
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: Linear Algebra and its Applications
سال: 1979
ISSN: 0024-3795
DOI: 10.1016/0024-3795(79)90150-2