Geodesic
A minimal residual method for a special class of linear systems with normal coefficients matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 1928-1937

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A minimal residual method is constructed for the class of linear systems with normal coefficient matrices whose spectra belong to algebraic curves of a low order $k$. From the well-known GMRES algorithm, the proposed method differs by the choice of the subspaces in which approximate solutions are sought; as a consequence, the latter method is described by a short-term recurrence. The case $k=2$ is discussed at length. Numerical results are presented that confirm the significant superiority of the proposed method over the GMRES as applied to the linear systems specified above. 
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     author = {M. Dana and A. G. Zykov and Kh. D. Ikramov},
     title = {A minimal residual method for a special class of linear systems with normal coefficients matrices},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1928--1937},
     publisher = {mathdoc},
     volume = {45},
     number = {11},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a2/}
}
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M. Dana; A. G. Zykov; Kh. D. Ikramov. A minimal residual method for a special class of linear systems with normal coefficients matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 11, pp. 1928-1937. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_11_a2/