07.07.2015 Views

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

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

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

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

BIBLIOGRAPHY 9206. , Rank factorization of a matrix <strong>and</strong> its applications,Math. Sci. 13 (1988), no. 1, 4–14, (see[1587]).207. P. Bhimasankaram <strong>and</strong> T. Mathew, On orderingproperties of generalized inverses of nonnegativedefinite matrices, Linear Algebra <strong>and</strong> its <strong>Applications</strong>183 (1993), 131–146.208. P. Bhimasankaram <strong>and</strong> R. SahaRay, On a partitionedlinear model <strong>and</strong> some associated reducedmodels, Linear Algebra <strong>and</strong> its <strong>Applications</strong> 264(1997), 329–339.209. M. Bilodeau, Sur une représentation explicitedes solutions optimales d’un programme linéaire,Canad. Math. Bull. 29 (1986), no. 4, 419–425.210. G. D. Birkhoff, Review of “The New Haven Colloquium.by E. H. Moore, E. J. Wilczynski, M.Mason. Yale University Press, 1910, x + 222 p.”,Bull. Amer. Math. Soc. 17 (1911), 414–428.211. Z. W. Birnbaum, Introduction to Probability <strong>and</strong>Mathematical Statistics, Harper & Brothers, Publishers,New York, 1962.212. A. Bjerhammar, Application of calculus of matricesto method of least squares with special reference togeodetic calculations, Trans. Roy. Inst. Tech. Stockholm1951 (1951), no. 49, 86 pp. (2 plates).213. , Rectangular reciprocal matrices, withspecial reference to geodetic calculations, Bull.Géodésique (1951), 188–220.214. , A generalized matrix algebra, Trans. Roy.Inst. Tech. Stockholm 1958 (1958), no. 124, 32 pp.215. , Studies with generalized matrix algebra,Bull. Géodésique (N.S.) No. 85 (1967), 193–210.216. , <strong>Theory</strong> of Errors <strong>and</strong> <strong>Generalized</strong> Matrix<strong>Inverses</strong>, Elsevier Scientific Publishing Co., Amsterdam,1973.217. Å. Björck, Iterative refinement of linear leastsquares solutions I, BIT 7 (1967), 257–278.218. , Solving linear least squares problems byGram–Schmidt orthogonalization, BIT 7 (1967), 1–21.219. , Iterative refinement of linear least squaressolutions II, BIT 8 (1968), 8–30.220. , A uniform numerical method for linear estimationfrom general Gauss-Markov models, Proceedingsof the First Symposium on ComutationalStatistics (COMPSTAT), (G. Bruckmann, F. Ferschl<strong>and</strong> L. Schmetterer, Editors), Physica Verlag,Vienna, 1974, pp. 131–140.221. , Numerical Methods for Least SquaresProblems, Society for Industrial <strong>and</strong> Applied Mathematics(SIAM), Philadelphia, PA, 1994.222. Å. Björck <strong>and</strong> C. Bowie, An iterative algorithm forcomputing the best estimate of an orthogonal matrix,SIAJN 8 (1971), no. 2, 358–364.223. Å. Björck <strong>and</strong> T. Elfving, Accelerated projectionmethods for computing pseudoinverse solutions ofsystems of linear equations, BIT 19 (1979), 145–163.224. Å. Björck <strong>and</strong> G. H. Golub, Iterative refinement oflinear least squares solutions by householder transformation,BIT 7 (1967), 322–337.225. , Numerical methods for computing anglesbetween linear subspaces, Mathematics of Computation27 (1973), 579–594.226. B. Blaschke, A. Neubauer, <strong>and</strong> O. Scherzer, Onconvergence rates for the iteratively regularizedGauss-Newton method, IMA J. Numer. Anal. 17(1997), no. 3, 421–436.227. J. Blatter <strong>and</strong> E. W. Cheney, On the existence ofextremal projections, J. Approximation <strong>Theory</strong> 6(1972), 72–79.228. J. W. Blattner, Bordered matrices, J. Soc. Indust.Appl. Math. 10 (1962), 528–536.229. , On the convergence of a certain matrix iteration,Bul. Inst. Politehn. Iaşi (N.S.) 10 (14)(1964), no. 3-4, 43–46.230. G. A. Bliss, Eliakim Hastings Moore, Bull. Amer.Math. Soc. 39 (1933), 831–838.231. , The scientific work of Eliakim HastingsMoore, Bull. Amer. Math. Soc. 40 (1934), 501–514.232. L. Bober <strong>and</strong> P. Chrzan, Application of the generalizedMoore-Penrose matrix inversion to the estimationof a classical econometric model under additionalconstraints, Przegl ‘ad Statyst. 25 (1978),no. 3, 315–324 (1979).233. E. Y. Bobrovnikova <strong>and</strong> S. A. Vavasis, A normbound for projections with complex weights, LinearAlgebra <strong>and</strong> its <strong>Applications</strong> 307 (2000), no. 1-3,69–75, (a complex version of the bounds in [1764],[1846]).234. P. T. Boggs, The convergence of the Ben-Israel iterationfor nonlinear least squares problems, Math.Comp. 30 (1976), no. 135, 512–522.235. E. Bohl <strong>and</strong> P. Lancaster, Perturbation of spectralinverses applied to a boundary layer phenomenonarising in chemical <strong>net</strong>works, Linear Algebra <strong>and</strong>its <strong>Applications</strong> 180 (1993), 35–59.236. F. Bohnenblust, A characterization of complexHilbert spaces, Portugal. Math. 3 (1942), 103–109.237. E. Boman <strong>and</strong> I. Koltracht, Computing preconditionersvia subspace projection, Linear Algebra <strong>and</strong>its <strong>Applications</strong> 302/303 (1999), 347–353.238. T. Bonnesen <strong>and</strong> W. Fenchel, Theorie der konvexenKörper, Springer, Berlin, 1934.239. C. de Boor, The Method of Projections as appliedto the Numerical Solution of Two Point BoundaryValue Problems using Cubic Splines, Doctoral dissertationin mathematics, University of Michigan,Ann Arbor, MI, 1966.240. , Convergence of abstract splines, J. Approx.<strong>Theory</strong> 31 (1981), no. 1, 80–89.241. J. C. G. Boot, The computation of the generalizedinverse of singular or rectangular matrices, Amer.Math. Monthly 70 (1963), 302–303.242. E. Boroş, On the generalized inverse of an EP rmatrix, An. Univ. Timişoara Ser. Şti. Mat.-Fiz. No.2 (1964), 33–38.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!