Registro:

Referencias:

• Anderson, W.N., Shorted operators (1971) SIAM J. Appl. Math., 20, pp. 520-525
• Anderson, W.N., Trapp, G.E., Shorted operators II (1975) SIAM J. Appl. Math., 28, pp. 60-71
• Ben-Israel, A., Greville, T.N.E., Generalized inverses. Theory and applications, 2nd ed (2003) CMS Books in Mathematics/Ouvrages De Mathématiques De La SMC, 15. , Springer-Verlag New York
• Ben-Tal, A., Teboulle, M., A geometric property of the least squares solutions of linear equations (1990) Linear Algebra Appl., 139, pp. 165-170
• Bobrovnikova, E.Y., Vavasis, S.A., A norm bound for projections with complex weights (2000) Linear Algebra Appl., 307, pp. 69-75
• Bouldin, R., The product of operators with closed range (1973) Tohoku Math. J., 25, pp. 359-363
• Casazza, P.G., The art of frame theory (2000) Taiwanese J. Math., 4, pp. 129-201
• Christensen, O., An introduction to frames and Riesz bases (2003) Applied and Numerical Harmonic Analysis, , Birkhäuser Boston Boston, MA
• Christensen, O., Frames, Riesz bases, and discrete Gabor/wavelet expansions (2001) Bull. Am. Math. Soc. (N.S.), 38, pp. 273-291
• Christensen, O., Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods (1996) J. Math. Anal. Appl., 199, pp. 256-270
• Corach, G., Maestripieri, A., Stojanoff, D., Oblique projections and schur complements (2001) Acta Sci. Math. (Szeged), 67, pp. 337-356
• Corach, G., Maestripieri, A., Stojanoff, D., Generalized Schur complements and oblique projections (2002) Linear Algebra Appl., 341, pp. 259-272
• Corach, G., Maestripieri, A., Stojanoff, D., Oblique projections and abstract splines (2002) J. Approx. Theory, 117, pp. 189-206
• Daubechies, I., Grossmann, A., Meyer, Y., Painless nonorthogonal expansions (1986) J. Math. Phys., 27, pp. 1271-1283
• Deutsch, F., The angle between subspaces in Hilbert space (1995) Approximation Theory, Wavelets and Applications, pp. 107-130. , S.P. Singh Kluwer Netherlands
• Dixmier, J., Etudes sur les variétés et opérateurs de Julia, avec quelques applications (1949) Bull. Soc. Math. France, 77, pp. 11-101
• Douglas, R.G., On majorization, factorization and range inclusion of operators in Hilbert space (1966) Proc. Am. Math. Soc., 17, pp. 413-416
• Duffin, R.J., Schaeffer, A.C., A class of nonharmonic Fourier series (1952) Trans. Am. Math. Soc., 72, pp. 341-366
• Forsgren, A., On linear least-squares problems with diagonally dominant weight matrices (1996) SIAM J. Matrix Anal. Appl., 17, pp. 763-788
• Forsgren, A., Sporre, G., On weighted linear least-squares problems related to interior methods for convex quadratic programming (2001) SIAM J. Matrix Anal. Appl., 23, pp. 42-56
• Friedrichs, K., On certain inequalities and characteristic value problems for analytic functions and for functions of two variables, I (1937) Trans. Am. Math. Soc., 41, pp. 321-364
• Gonzaga, C.C., Lara, H.J., A note on properties of condition numbers (1997) Linear Algebra Appl., 273, pp. 269-273
• Hanke, M., Neumann, M., The geometry of the set of scaled projections (1993) Linear Algebra Appl., 190, pp. 137-148
• Hassi, S., Nordström, K., On projections in a space with an indefinite metric (1994) Linear Algebra Appl., 208-209, pp. 401-417
• Heil, C.E., Walnut, D.F., Continuous and discrete wavelet transforms (1989) SIAM Rev., 31, pp. 628-666
• Herrero, D.A., Approximation of Hilbert space operators, vol. 1, 2nd ed. (1989) Pitman Research Notes in Mathematics Series, 224. , New York
• Holub, J.R., Pre-frame operators, Besselian frames, and near-Riesz bases in Hilbert spaces (1994) Proc. Am. Math. Soc., 122, pp. 779-785
• Izumino, S., The product of operators with closed range and an extension of the reverse order law (1982) Tohoku Math. J., 34, pp. 43-52
• Kadison, R., Ringrose John, R., (1984) Fundamentals of the Theory of Operator Algebras, I, , Academic Press New York
• O'Leary, D.P., On bounds for scaled projections and pseudoinverses (1990) Linear Algebra Appl., 132, pp. 115-117
• Pedersen, G.K., (1979) C*-algebras and their Automorphism Groups, , Academic Press London
• Ptak, V., Extremal operators and oblique projections (1985) Casopis Pest Mat., 110, pp. 343-350
• Stewart, G.W., On scaled projections and pseudoinverses (1989) Linear Algebra Appl., 112, pp. 189-193
• Wang, G., Wei, Y., Qiao, S., (2004) Generalized Inverses: Theory and Computations, , Science Press Beijing, New York
• Wei, M., The analysis for the total least squares problem with more than one solution (1992) SIAM J. Matrix Anal. Appl., 13, pp. 746-763
• Wei, M., Upper bound and stability of scaled pseudoinverses (1995) Numer. Math., 72, pp. 285-293
• Wei, M., Equivalent formulae for the supremum and stability of weighted pseudoinverses (1997) Math. Comput., 220, pp. 1487-1508
• Wei, M., (2001) Supremum and Stability of Weighted Pseudoinverses and Weighted Least Squares Problems: Analysis and Computations, , Nova Science Publisher
• Wei, M., De Pierro, A.R., Upper perturbation bounds of weighted projections, weighted and constrained least squares problems (2000) SIAM J. Matrix Anal. Appl., 21 (3), pp. 931-951
• Young, R., (2001) An Introduction to Nonharmonic Fourier Series, , Revised first edition Academic Press San Diego

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------