@article { author = {Hajarian, Masoud}, title = {‎A matrix LSQR algorithm for solving constrained linear operator equations}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {40}, number = {1}, pages = {41-53}, year = {2014}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {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.}, keywords = {Iterative method,Bidiagonalization procedure,Linear operator equation}, url = {http://bims.iranjournals.ir/article_482.html}, eprint = {http://bims.iranjournals.ir/article_482_84ccde0152b76da6ba408ddf2be03cef.pdf} }