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

BIBLIOGRAPHY 15416. , Elements of the Theory of GeneralizedInverses for Matrices. (umap modules and monographsin undergraduate mathematics and its applicationsproject). the umap expository monographseries), EDC/UMAP, Newton, Mass., 1979.417. , Note on an extension of the Moore-Penrose inverse, Linear Algebra and its Applications40 (1981), 19–23.418. R. E. Cline and R. E. Funderlic, The rank of adifference of matrices and associated generalizedinverses, Linear Algebra and its Applications 24(1979), 185–215.419. R. E. Cline and T. N. E. Greville, An extension ofthe generalized inverse of a matrix, SIAM J. Appl.Math. 19 (1970), 682–688.420. , A Drazin inverse for rectangular matrices,Linear Algebra and its Applications 29 (1980), 53–62.421. R. E. Cline and R. J. Plemmons, l 2 -solutions tounderdetermined linear systems, SIAM Rev. 18(1976), no. 1, 92–106.422. R. E. Cline and L. D. Pyle, The generalized inversein linear programming. an intersecton projectionmethod and the solution of a class of structuredlinear programming problems, SIAM J. Appl.Math. 24 (1973), 338–351.423. E. A. Coddington and N. Levinson, Theory of OrdinaryDifferential Equations, McGraw–Hill BookCo., 1955.424. L. Collatz, Aufgaben monotoner Art, Arch. Math.3 (1952), 366–376.425. D. Constales, A closed formula for the Moore-Penrose generalized inverse of a complex matrix ofgiven rank, Acta Math. Hungar. 80 (1998), no. 1-2,83–88.426. G. Corach, A. Maestripieri, and D. Stojanoff, Generalizedorthogonal projections and shorted operators,Margarita mathematica, Univ. La Rioja,Logroño, 2001, pp. 607–625.427. , Oblique projections and Schur complements,Acta Sci. Math. (Szeged) 67 (2001), no. 1-2,337–356.428. , Generalized Schur complements andoblique projections, Linear Algebra and its Applications341 (2002), 259–272.429. G. Corach, H. Porta, and L. Recht, Differential geometryof spaces of relatively regular operators, IntegralEquations Operator Theory 13 (1990), no. 6,771–794.430. C. Corradi, A note on the solution of separable nonlinearleast-squares problems with separable nonlinearequality constraints, SIAM J. Numer. Anal. 18(1981), no. 6, 1134–1138.431. , Computing methods for restricted estimationin linear models, Statistica (Bologna) 42(1982), no. 1, 55–68, (see [645]).432. R. W. Cottle, Manifestations of the Schur complement,Linear Algebra and Appl. 8 (1974), 189–211.433. R. Courant, Differential and Integral Calculus, IntersciencePublishers, New York, 1936, (translatedby E.J. McShane).434. R. Courant and D. Hilbert, Methods of MathematicalPhysics. Vol. I, Interscience Publishers, NewYork, 1953, (First published in German 1924).435. D. E. Crabtree and E. V. Haynsworth, An identityfor the Schur complement of a matrix, Proc. Amer.Math. Soc. 22 (1969), 364–366.436. D. F. Cudia, Rotundity, Convexity, Proc. Sympos.Pure Math. Vol. VII (V. Klee, Editor), Amer.Math. Soc., Providence, R.I., 1963, pp. 73–97.437. C. G. Cullen and K. J. Gale, A functional definitionof the determinant, Amer. Math. Monthly 72(1965), 403–406.438. B. Cvetkov, A new method of computation in thetheory of least squares, Austral. J. Appl. Sci. 6(1955), 274–280.439. Hua Dai, An algorithm for symmetric generalizedinverse eigenvalue problems, Linear Algebra and itsApplications 296 (1999), no. 1-3, 79–98.440. J. F. Dalphin and V. Lovass-Nagy, Best leastsquares solutions to finite difference equations usingthe generalized inverse and tensor productmethods, Journal of the ACM 20 (1973), no. 2,279–289.441. J. Dauxois and G. M. Nkiet, Canonical analysis oftwo Euclidean subspaces and its applications, LinearAlgebra and its Applications 264 (1997), 355–388.442. D. F. Davidenko, On a new method of numericalsolution of systems of nonlinear equations, DokladyAkad. Nauk SSSR (N.S.) 88 (1953), 601–602.443. , The evaluation of determinants by themethod of variation of parameters, Soviet Math.Dokl. 1 (1960), 316–319.444. , Inversion of matrices by the method ofvariation of parameters, Soviet Math. Dokl. 1(1960), 279–282.445. , The method of variation of parametersas applied to the computation of eigenvalues andeigenvectors of matrices, Soviet Math. Dokl. 1(1960), 364–367.446. , Pseudo-inversion and construction of generalizedsolutions of linear equations that arise incalculations for nuclear reactors, ComputationalProcesses and Systems, No. 6 (Russian), “Nauka”,Moscow, 1988, pp. 98–109.447. C. Davis, Separation of two linear subspaces, ActaSci. Math. Szeged 19 (1958), 172–187.448. , Completing a matrix so as to minimize therank, Topics in Operator Theory and Interpolation,Birkhäuser, Basel, 1988, pp. 87–95.449. C. Davis and W. M. Kahan, Some new bounds onperturbation of subspaces, Bull. Amer. Math. Soc.75 (1969), 863–868.450. , The rotation of eigenvectors by a perturbation.III, SIAM J. Numer. Anal. 7 (1970), 1–46.