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

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BIBLIOGRAPHY 331059. A. Klinger, Approximate pseudoinverse solutions toill–conditioned linear systems, J. Optimization Th.Appl. 2 (1968), 117–128.1060. A. V. Knyazev <strong>and</strong> M. E. Argentati, An effective<strong>and</strong> robust algorithm for finding principal anglesbetween subspaces using an A-based scalar product,Tech. Report 163, Center for Computational Mathematics,University of Colorado at Denver, August2000.1061. M. Koecher, The generalized inverse of integralmatrices, Linear Algebra <strong>and</strong> its <strong>Applications</strong> 71(1985), 187–198.1062. E. G. Kogbetliantz, Solution of linear systems bydiagonalization of coefficients matrix, Quarterly ofApplied Mathematics 13 (1955), 123–132.1063. J. J. Koliha, Power convergence <strong>and</strong> pseudoinversesof operators in Banach spaces, J. Math.Anal. Appl. 48 (1974), 446–469.1064. , Pseudo-inverses of operators, Bull. Amer.Math. Soc. 80 (1974), 325–328.1065. , The product of relatively regular operators,Comment. Math. Univ. Carolinae 16 (1975), no. 3,531–539.1066. , A generalized Drazin inverse, GlasgowMath. J. 38 (1996), no. 3, 367–381.1067. , The Drazin <strong>and</strong> Moore–Penrose inverse inC ∗ -algebras, Math. Proc. R. Ir. Acad. 99A (1999),no. 1, 17–27.1068. , A simple proof of the product theorem forEP matrices, Linear Algebra <strong>and</strong> its <strong>Applications</strong>294 (1999), no. 1-3, 213–215.1069. , Elements of C ∗ -algebras commuting withtheir Moore-Penrose inverse, Studia Math. 139(2000), no. 1, 81–90.1070. , Block diagonalization, Math. Bohem. 126(2001), no. 1, 237–246.1071. , Continuity <strong>and</strong> differentiability of theMoore–Penrose inverse in C ∗ -algebras, Math.Sc<strong>and</strong>. 88 (2001), no. 1, 154–160.1072. , Range projections of idempotents in C ∗ -algebras, Demonstratio Math. 34 (2001), no. 1, 91–103.1073. , Error bounds for a general perturbationof the Drazin inverse, Appl. Math. Comput. 126(2002), no. 2-3, 61–65.1074. J. J. Koliha <strong>and</strong> V. Rakočević, Continuity of theDrazin inverse. II, Studia Math. 131 (1998), no. 2,167–177.1075. J. J. Koliha <strong>and</strong> I. Straškraba, Power bounded <strong>and</strong>exponentially bounded matrices, Appl. Math. 44(1999), no. 4, 289–308.1076. J. J. Koliha <strong>and</strong> T. D. Tran, Semistable operators<strong>and</strong> singularly perturbed differential equations, J.Math. Anal. Appl. 231 (1999), no. 2, 446–458.1077. A. Korányi, Around the finite–dimensional spectraltheorem, Amer. Math. Monthly 108 (2001), 120–125.1078. A. Korganoff <strong>and</strong> M. Pavel-Parvu, Méthodes decalcul numérique. Tome II: Éléments de théoriedes matrices carrées et rectangles en analysenumérique, Dunod, Paris, 1967.1079. V. M. Korsukov, An application of iteration methodsto the computation of semi-inverses of matrices,Optimization Methods <strong>and</strong> Operations Research,Applied Mathematics (Russian), Akad.Nauk SSSR Sibirsk. Otdel. Sibirsk. Ènerget. Inst.,Irkutsk, 1976, pp. 171–173, 191.1080. , Some properties of generalized inverse matrices,Degenerate Systems of Ordinary DifferentialEquations, “Nauka” Sibirsk. Otdel., Novosibirsk,1982, pp. 19–37.1081. M. Koshy <strong>and</strong> R. P. Tewarson, On the use of restrictedpseudo-inverses for the unified derivationof quasi-Newton updates, IMA J. Numer. Anal. 5(1985), no. 2, 141–151.1082. V. I. Kostin, V. G. Khajdukov, <strong>and</strong> V. A.Tcheverda, On r-solutions of nonlinear equations,Advanced Mathematics: Computations <strong>and</strong> <strong>Applications</strong>(Novosibirsk, 1995), NCC Publ., Novosibirsk,1995, pp. 286–291.1083. , r-solutions of equations of the first kindwith a compact operator in Hilbert spaces: existence<strong>and</strong> stability, Dokl. Akad. Nauk 355 (1997), no. 3,308–312.1084. S. Kourouklis <strong>and</strong> C. C. Paige, A constrained leastsquares approach to the general Gauss-Markov linearmodel, J. Amer. Statist. Assoc. 76 (1981),no. 375, 620–625.1085. O. Krafft, An arithmetic-harmonic-mean inequalityfor nonnegative definite matrices, Linear Algebra<strong>and</strong> its <strong>Applications</strong> 268 (1998), 243–246.1086. W. Krajewski, Aggregation of models with restricteddomains: an application of the pseudoinverses,Large Scale Systems: <strong>Theory</strong> <strong>and</strong> <strong>Applications</strong>1983 (Warsaw, 1983), IFAC, Laxenburg,1984, pp. 201–205.1087. R. G. Kreijger <strong>and</strong> H. Neudecker, Exact linear restrictionson parameters in the general linear modelwith a singular covariance matrix, J. Amer. Statist.Assoc. 72 (1977), no. 358, 430–432.1088. M. G. Kreĭn, The theory of self-adjoint extensionsof semi-bounded Hermitian transformations <strong>and</strong> itsapplications. I, Rec. Math. [Mat. Sbornik] N.S.20(62) (1947), 431–495.1089. , The theory of self-adjoint extensions ofsemi-bounded Hermitian transformations <strong>and</strong> itsapplications. II, Mat. Sbornik N.S. 21(63) (1947),365–404.1090. R. Kress, On the Fredholm alternative, IntegralEquations Operator <strong>Theory</strong> 6 (1983), no. 3, 453–457.1091. E. V. Krishnamurthy, Fast parallel exact computationof the Moore-Penrose inverse <strong>and</strong> rank ofa matrix, Elektron. Informationsverarb. Kyber<strong>net</strong>.19 (1983), no. 1-2, 95–98.1092. W. Kruskal, The coordinate-free approach toGauss-Markov estimation, <strong>and</strong> its application tomissing <strong>and</strong> extra observations, Proc. 4th Berkeley

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