‎A matrix LSQR algorithm for solving constrained linear operator equations

نویسنده

  • Masoud Hajarian Department of Mathematics Faculty of Mathematical Sciences Shahid Beheshti University, G.C., Evin, Tehran 19839 Iran
چکیده مقاله:

In this work‎, ‎an iterative method based on a matrix form of LSQR algorithm is constructed for solving the linear operator equation $mathcal{A}(X)=B$‎ ‎and the minimum Frobenius norm residual problem $||mathcal{A}(X)-B||_F$‎ ‎where $Xin mathcal{S}:={Xin textsf{R}^{ntimes n}~|~X=mathcal{G}(X)}$‎, ‎$mathcal{F}$ is the linear operator from $textsf{R}^{ntimes n}$ onto $textsf{R}^{rtimes s}$‎, ‎$mathcal{G}$ is a linear self-conjugate involution operator and‎ ‎$Bin textsf{R}^{rtimes s}$‎. ‎Numerical examples are given to verify the efficiency of the constructed method‎.

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عنوان ژورنال

دوره 40  شماره 1

صفحات  41- 53

تاریخ انتشار 2014-02-01

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