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

BIBLIOGRAPHY 25769. N. N. Gupta, An iterative method for computationof generalized inverse and matrix rank, IEEETrans. Systems Man Cybernet. (1971), 89–90.770. , An optimum iterative method for the computationof matrix rank, IEEE Trans. Systems ManCybernet. (1972), 437–438.771. A. Guterman, Linear preservers for Drazin starpartial order, Comm. in Algebra (2001).772. , Linear preservers for matrix inequalitiesand partial orderings, Linear Algebra and its Applications331 (2001), 75–87.773. T. Güyer, O. Kıymaz, G. Bilgici, and Ş. Mirasyedioğlu,A new method for computing the solutionsof differential equation systems using generalizedinverse via Maple, Appl. Math. Comput. 121(2001), no. 2-3, 291–299.774. S. J. Haberman, How much do Gauss-Markov andleast square estimates differ? A coordinate-free approach,Ann. Statist. 3 (1975), no. 4, 982–990, (extensionof [1093].775. F. J. Hall, Generalized inverses of a bordered matrixof operators, SIAM J. Appl. Math. 29 (1975),152–163.776. , On the independence of blocks of generalizedinverses of bordered matrices, Linear Algebraand Appl. 14 (1976), no. 1, 53–61.777. F. J. Hall and R. E. Hartwig, Further results ongeneralized inverses of partitioned matrices, SIAMJ. Appl. Math. 30 (1976), no. 4, 617–624.778. , Algebraic properties of governing matricesused in Cesàro-Neumann iterations, Rev.Roumaine Math. Pures Appl. 26 (1981), no. 7,959–978.779. F. J. Hall, R. E. Hartwig, I. J. Katz, and M. Newman,Pseudosimilarity and partial unit regularity,Czechoslovak Math. J. 33(108) (1983), no. 3, 361–372.780. F. J. Hall and I. J. Katz, On ranks of integral generalizedinverses of integral matrices, Linear andMultilinear Algebra 7 (1979), no. 1, 73–85.781. , More on integral generalized inverses ofintegral matrices, Linear and Multilinear Algebra9 (1980), no. 3, 201–209.782. , Nonnegative integral generalized inverses,Linear Algebra and its Applications 39 (1981), 23–39.783. F. J. Hall and C. D. Meyer, Jr., Generalized inversesof the fundamental bordered matrix usedin linear estimation, Sankhyā Ser. A 37 (1975),no. 3, 428–438, (corrigendum in Sankhyā Ser. A40(1980), 399).784. C. R. Hallum, T. L. Boullion, and P. L. Odell,Best linear estimation in the restricted general linearmodel, Indust. Math. 34 (1984), no. 1, 53–64.785. C. R. Hallum, T. O. Lewis, and T. L. Boullion, Estimationin the restricted general linear model witha positive semidefinite covariance matrix, Comm.Statist. 1 (1973), 157–166.786. P. R. Halmos, Finite–Dimensional Vector Spaces,2nd ed., D. Van Nostrand, Co., Princeton, 1958.787. , A Hilbert Space Problem Book, D. VanNostrand, Co., Princeton, 1967.788. P. R. Halmos and J. E. McLaughlin, Partial isometries,Pacific J. Math. 13 (1963), 585–596.789. P. R. Halmos and L. J. Wallen, Powers of partialisometries, J. Math. Mech. 19 (1970), 657–663.790. I. Halperin, Closures and adjoints of linear differentialoperators, Ann. of Math. (1937), 880–919.791. H. Hamburger, Non–symmetric operators inHilbert space, Proceedings Symposium on SpectralTheory and Differential Problems, Oklahoma A&M College, Stillwater, OK, 1951, pp. 67–112.792. M. Hanke, Regularization with differential operators:an iterative approach, Numer. Funct. Anal.Optim. 13 (1992), no. 5-6, 523–540.793. M. Hanke and M. Neumann, Preconditioningsand splittings for rectangular systems, NumerischeMathematik 57 (1990), no. 1, 85–95.794. , The geometry of the set of scaled projections,Linear Algebra and its Applications 190(1993), 137–148.795. M. Hanke and W. Niethammer, On the accelerationof Kaczmarz’s method for inconsistent linearsystems, Linear Algebra and its Applications 130(1990), 83–98.796. G. W. Hansen and D. W. Robinson, On the existenceof generalized inverses, Linear Algebra andits Applications 8 (1974), 95–104.797. P. C. Hansen, The truncated SVD as a method forregularization, BIT 27 (1987), 534–553.798. R. J. Hanson, A numerical method for solving Fredholmintegral equations of the first kind using singularvalues, SIAM J. Numer. Anal. 8 (1971), 616–622.799. R. J. Hanson and M. J. Norris, Analysis of measurementsbased on the singular value decomposition,SIAM J. Sci. Statist. Comput. 2 (1981), no. 3,363–373.800. B. Harris, Theory of Probability, Addison-Wesley,Reading, Mass., 1966.801. W. A. Harris, Jr. and T. N. Helvig, Applicationsof the pseudoinverse to modeling, Technometrics 8(1966), 351–357.802. R. Harte, Polar decomposition and the Moore-Penrose inverse, Panamer. Math. J. 2 (1992), no. 4,71–76.803. R. Harte and M. Mbekhta, On generalized inversesin C ∗ -algebras, Studia Math. 103 (1992), no. 1,71–77.804. , Generalized inverses in C ∗ -algebras. II,Studia Math. 106 (1993), no. 2, 129–138.805. W. M. Hartmann and R. E. Hartwig, Computingthe Moore-Penrose inverse for the covariance matrixin constrained nonlinear estimation, SIAM J.Optim. 6 (1996), no. 3, 727–747.806. J. Hartung, On a method for computing pseudoinverses,Optimization and Operations Research