Generalized Inverses: Theory and Applications ... - Benisrael.net

BIBLIOGRAPHY 21631. R. E. Funderlic and C. D. Meyer, Jr., Sensitivityof the stationary distribution vector for an ergodicMarkov chain, Linear Algebra and its Applications76 (1986), 1–17.632. R. Gabriel, Extensions of generalized algebraiccomplement to arbitrary matrices (romanian),Stud. Cerc. Mat. 17 (1965), 1567–1581.633. , Das verallgemeinerte Inverse einer Matrixderen Elemente über einem beliebigen Körperangehören, J. Reine Angew. Math. 234 (1969),107–122.634. , Das verallgemeinerte Inverse einer Matrixüber einem beliebigen Körperanalytisch betrachtet,J. Reine Angew. Math. 244 (1970), 83–93.635. , Das verallgemeinerte Inverse einer Matrixüber einen beliebigen Körper—mit Skelettzerlegungenberechnet, Rev. Roumaine Math. Pures Appl.20 (1975), 213–225.636. , Das verallgemeinerte Inverse in Algebren,Rev. Roumaine Math. Pures Appl. 20 (1975), 311–324, (corrigendum: Rev. Roumaine Math. PuresAppl. 20(1975), 747).637. R. Gabriel and R. E. Hartwig, The Drazin inverseas a gradient, Linear Algebra and its Applications63 (1984), 237–252.638. J. Gaches, J.-L. Rigal, and X. Rousset de Pina, Distanceeuclidienne d’une application linéaire σ aulieu des applications de rang r donné, C. R. Acad.Sci. Paris 260 (1965), 5672–5674.639. A. Galántai, The theory of Newton’s method, J.Comput. Appl. Math. 124 (2000), no. 1-2, 25–44,(Numerical analysis 2000, Vol. IV, Optimizationand nonlinear equations).640. A. Galántai and G. Varga, A relaxation method forthe computation of generalized inverses of matrices,Közlemények—MTA Számitástechn. Automat.Kutato Int. Budapest (1976), no. 17, 57–62.641. E. F. Galba, Weighted pseudo-inversion of matriceswith singular weights, Ukraïn. Mat. Zh. 46 (1994),no. 10, 1323–1327.642. , Iterative methods for computing a weightedpseudo-inverse matrix, Zh. Vychisl. Mat. i Mat.Fiz. 36 (1996), no. 6, 28–39.643. , Representation of a weighted pseudoinversematrix in terms of other pseudo-inversematrices, Dopov. Nats. Akad. Nauk Ukr. Mat.Prirodozn. Tekh. Nauki (1997), no. 4, 12–17.644. E. F. Galba, I. N. Molchanov, and V. V. Skopetskiĭ,Iterative methods for computing a weighted pseudoinversematrix with singular weights, Kibernet. Sistem.Anal. (1999), no. 5, 150–169, 191.645. A. R. Gallant and T. M. Gerig, Computationsfor constrained linear models, J. Econometrics 12(1980), no. 1, 59–84, (see [431]).646. A. M. Galperin and Z. Waksman, On pseudoinversesof operator products, Linear Algebra andits Applications 33 (1980), 123–131.647. , Ulm’s method under regular smoothness,Numer. Funct. Anal. Optim. 19 (1998), no. 3-4,285–307.648. W. Gander, Algorithms for the polar decomposition,SIAM J. Sci. Statist. Comput. 11 (1990),no. 6, 1102–1115.649. F. R. Gantmacher, The Theory of Matrices, vol. Iand II, Chelsea, New York, 1959.650. Zhiqiang Gao and P. J. Antsaklis, Stability of thepseudo-inverse method for reconfigurable controlsystems, Internat. J. Control 53 (1991), no. 3, 717–729.651. J. M. Garnett III, A. Ben-Israel, and S. S. Yau, Ahyperpower iterative method for computing matrixproducts involving the generalized inverse, SIAM J.Numer. Anal. 8 (1971), 104–109.652. M. K. Gavurin and Ju. B. Farforovskaja, An iterativemethod for finding the minimum of sums ofsquares, Ž. Vyčisl. Mat. i Mat. Fiz. 6 (1966), 1094–1097.653. D. M. Gay, Modifying singular values: existence ofsolutions to sytems of nonlinear equations havinga possibly singular Jacobian matrix, Math. Comp.31 (1977), no. 140, 962–973.654. , Corrigenda: “Modifying singular values:existence of solutions to systems of nonlinear equationshaving a possibly singular Jacobian matrix”(Math. Comp. 31(1977), no. 140, 962–973), Math.Comp. 33 (1979), no. 145, 432–433.655. A. George and Kh. D. Ikramov, Is the polar decompositionfinitely computable?, SIAM J. MatrixAnal. Appl. 17 (1996), no. 2, 348–354, (see [656]).656. , Addendum: “Is the polar decompositionfinitely computable?” [SIAM J. Matrix Anal. Appl.17 (1996), no. 2, 348–354; MR 96m:15023], SIAMJ. Matrix Anal. Appl. 18 (1997), no. 1, 264.657. T. M. Gerig and A. R. Gallant, Computing methodsfor linear models subject to linear parametric constraints,J. Statist. Comput. Simulation 3 (1975),283–296, (Errata: ibid 4 (1975), no. 1, 81–82).658. B. Germain-Bonne, Calcul de pseuodo–inverses,Rev. Francaise Informat. Recherce Opérationelle 3(1969), 3–14.659. A. J. Getson and F. C. Hsuan, {2}-Inverses andtheir Statistical Application, Springer-Verlag, NewYork, 1988.660. C. Z. Gilstein and E. E. Leamer, The set ofweighted regression estimates, J. Amer. Statist. Assoc.78 (1983), no. 384, 942–948.661. C. Giurescu and R. Gabriel, Some properties ofthe generalized matrix inverse and semiinverse, An.Univ. Timişoara Ser. Şti. Mat.-Fiz. No. 2 (1964),103–111.662. I. M. Glazman and Ju. I. Ljubich, Finite DimensionalLinear Analysis, Nauka, Moscow, 1969,(English translation published by MIT Press).663. S. Goldberg, Unbounded Linear Operators,McGraw-Hill Book Co., New York, 1966.