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

BIBLIOGRAPHY 23700. , Operator means, norm convergence andmatrix functions, Signal Processing, Scattering andOperator Theory, and Numerical Methods (Amsterdam,1989), Birkhäuser Boston, Boston, MA,1990, pp. 551–556.701. F. Greensite, Second-order approximation of thepseudoinverse for operator deconvolutions and familiesof ill-posed problems, SIAM J. Appl. Math. 59(1999), no. 1, 1–16 (electronic).702. W. Greub and W. C. Rheinboldt, On a generalizationof an inequality of L. V. Kantorovich, Proc.Amer. Math. Soc. 10 (1959), 407–415.703. , Non self–adjoint boundary value problemsin ordinary differential equations, J. Res. Nat. Bur.Standards Sect. B 1960 (64B), 83–90.704. T. N. E. Greville, On smoothing a finite table: Amatrix approach, J. Soc. Indust. Appl. Math. 5(1957), 137–154.705. , The pseudoinverse of a rectangular matrixand its application to the solution of systems of linearequations, SIAM Rev. 1 (1959), 38–43.706. , Some applications of the pseudoinverse ofa matrix, SIAM Rev. 2 (1960), 15–22.707. , Note on fitting functions of several independentvariables, J. Soc. Indust. Appl. Math. 9(1961), 109–115, (Erratum, ibid 9(1961), 317).708. , Note on the generalized inverse of a matrixproduct, J. Soc. Indust. Appl. Math. 9 (1966), 109–115.709. , Spectral generalized inverses of square matrices,Math. Research Center Technical SummaryReport 823, University of Wisconsin, Madison, WI,October 1967.710. , Some new generalized inverses with spectralproperties, In Boullion and Odell [255], pp. 26–46.711. , The Souriau-Frame algorithm and theDrazin pseudoinverse, Linear Algebra and Appl. 6(1973), 205–208.712. , Solutions of the matrix equation XAX =X and relations between oblique and orthogonalprojectors, SIAM J. Appl. Math. 26 (1974), 828–832.713. T. N. E. Greville and N. Keyfitz, Backward populationprojection by a generalized inverse, ComputationalProbability (Proc. Actuarial Res. Conf.,Brown Univ., Providence, R.I., 1975), AcademicPress, New York, 1980, pp. 173–183.714. E. Griepentrog and R. März, Basic properties ofsome differential-algebraic equations, Z. Anal. Anwendungen8 (1989), no. 1, 25–41.715. C. W. Groetsch, Steepest descent and least squaressolvability, Canad. Math. Bull. 17 (1974), 275–276.716. , A product integral representation of thegeneralized inverse, Comment. Math. Univ. Carolinae16 (1975), 13–20.717. , Representations of the generalized inverse,J. Math. Anal. Appl. 49 (1975), 154–157.718. , Generalized Inverses of Linear Operators:Representation and Approximation. monographsand textbooks in pure and applied mathematics,no. 37, Marcel Dekker Inc., New York, 1977.719. , The Forsythe-Motzkin method for singularlinear operator equations, J. Optim. Theory Appl.25 (1978), no. 2, 311–315.720. , On rates of convergence for approximationsto the generalized inverse, Numer. Funct.Anal. Optim. 1 (1979), no. 2, 195–201.721. , Generalized inverses and generalizedsplines, Numer. Funct. Anal. Optim. 2 (1980),no. 1, 93–97, (connection between generalized inversesand generalized splines, see [1646]).722. , The Theory of Tikhonov Regularizationfor Fredholm Equations of the First Kind, Pitman,London, 1984.723. , Spectral methods for linear inverse problemswith unbounded operators, J. Approx. Theory70 (1992), no. 1, 16–28.724. , Inclusions for the Moore-Penrose inversewith applications to computational methods, Contributionsin Numerical Mathematics, World Sci.Publishing, River Edge, NJ, 1993, pp. 203–211.725. , Inverse Problems in the Mathematical Sciences,Friedr. Vieweg & Sohn, Braunschweig, 1993.726. , Inclusions and identities for the Moore-Penrose inverse of a closed linear operator, Math.Nachr. 171 (1995), 157–164.727. C. W. Groetsch and J. Guacaneme, Arcangeli’smethod for Fredholm equations of the first kind,Proc. Amer. Math. Soc. 99 (1987), no. 2, 256–260.728. C. W. Groetsch and M. Hanke, A general frameworkfor regularized evaluation of unstable operators,J. Math. Anal. Appl. 203 (1996), no. 2, 451–463.729. C. W. Groetsch and B. J. Jacobs, Iterative methodsfor generalized inverses based on functional interpolation,In Campbell [320], pp. 220–232.730. C. W. Groetsch and J. T. King, Extrapolationand the method of regularization for generalized inverses,J. Approx. Theory 25 (1979), no. 3, 233–247.731. C. W. Groetsch and A. Neubauer, Regularizationof ill-posed problems: optimal parameter choice infinite dimensions, J. Approx. Theory 58 (1989),no. 2, 184–200.732. C. W. Groetsch and O. Scherzer, The optimal orderof convergence for stable evaluation of differentialoperators, Electronic J. Diff. Eqtns. 1993 (1993),no. 4, 1–10.733. C. W. Groetsch and C. R. Vogel, Asymptotic theoryof filtering for linear operator equations with discretenoisy data, Math. Comp. 49 (1987), no. 180,499–506.734. R. Grone, Certain isometries of rectangular complexmatrices, Linear Algebra and its Applications29 (1980), 161–171.