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Autor:
Charles L. Byrne
Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or gra
Autor:
Charles L. Byrne
Publikováno v:
International Transactions in Operational Research. 16:427-463
The recently presented sequential unconstrained minimization algorithm, SUMMA, is extended to provide a framework for the derivation of block-iterative, or partial-gradient, optimization methods. This block-iterative SUMMA (BI-SUMMA) includes, and is
Autor:
Charles L. Byrne
Publikováno v:
International Transactions in Operational Research. 16:465-479
We obtain the following upper bounds for the eigenvalues of the matrix A†A. For any a in the interval [0, 2] let and ca and ra the maxima of the caj and rai, respectively. Then no eigenvalue of the matrix A†A exceeds the maximum of over all i, no
Autor:
Charles L. Byrne
Publikováno v:
IEEE Transactions on Image Processing. 14:321-327
Viewed abstractly, all the algorithms considered here are designed to provide a nonnegative solution x to the system of linear equations y = Px, where y is a vector with positive entries and P a matrix whose entries are nonnegative and with no purely
Autor:
Charles L. Byrne
Publikováno v:
Inverse Problems. 20:103-120
Let T be a (possibly nonlinear) continuous operator on Hilbert space . If, for some starting vector x, the orbit sequence {Tkx,k = 0,1,...} converges, then the limit z is a fixed point of T; that is, Tz = z. An operator N on a Hilbert space is nonexp
Autor:
Charles L. Byrne
Publikováno v:
Inverse Problems. 18:441-453
Let C and Q be nonempty closed convex sets in R N and R M , respectively, and A an M by N real matrix. The split feasibility problem (SFP) is to find x ∈ C with Ax ∈ Q ,i f suchx exist. An iterative method for solving the SFP, called the CQ algor
Autor:
Charles L. Byrne
Publikováno v:
Signal Processing ISBN: 9781482241846
Signal Processing: A Mathematical Approach, Second Edition
Signal Processing: A Mathematical Approach, Second Edition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::120636f9d40e96e34beb3c6488e009ed
https://doi.org/10.1201/b17672-5
https://doi.org/10.1201/b17672-5
Autor:
Charles L. Byrne
Publikováno v:
Signal Processing ISBN: 9781482241846
Signal Processing: A Mathematical Approach, Second Edition
Signal Processing: A Mathematical Approach, Second Edition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad7c5b6ee699e42d33fc9f6b922cfa8e
https://doi.org/10.1201/b17672-27
https://doi.org/10.1201/b17672-27
Autor:
Charles L. Byrne
Publikováno v:
Signal Processing ISBN: 9781482241846
Signal Processing: A Mathematical Approach, Second Edition
Signal Processing: A Mathematical Approach, Second Edition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::906136b2416a641a6a9bc30bd8cf47ec
https://doi.org/10.1201/b17672-28
https://doi.org/10.1201/b17672-28