[1] A. Bick, The mathematics of the portfolio frontier: A
geometry-based approach, The Quarterly Review of Economics and Finance
44 (2004), 337-361.
[2] S. A. Buser, Mean-variance portfolio selection with either a
singular or non-singular variance-covariance matrix, Journal of
Financial and Quantitative Analysis 12 (1977), 347-361.
[3] C. S. Cheung, C. Kwan and D. Mountain, On the nature of
mean-variance spanning, Finance Research Letter 6 (2009), 106-113.
[4] F. De Roon and T. Nijman, Testing for mean-variance spanning: A
survey, Journal of Empirical Finance 8 (2001), 111-155.
[5] T. T. Dunne and M. Stone, Downdating the Moore-Penrose generalized
inverse for cross-validation of centred least squares prediction,
Journal of the Royal Statistical Society: Series B 55 (1993),
369-375.
[6] S. H. Fang, A mean-variance analysis of arbitrage portfolios,
Physica A: Statistical Mechanics and its Applications 375 (2007),
625-632.
[7] P. Glabadanidis, Measuring the economic significance of
mean-variance spanning, The Quarterly Review of Economics and Finance
49 (2009), 596-616.
[8] J. Groß, The Moore-Penrose inverse of a partitioned
non-negative definite matrix, Linear Algebra and its Applications 321
(2000), 113-121.
[9] G. Huberman and S. Kandel, Mean variance spanning, Journal of
Finance 42 (1987), 873-888.
[10] C. F. Jiang and Y. L. Dai, Analytic solutions of efficient
frontier and efficient portfolio with singular covariance matrix,
Journal of Systems Science and Mathematical Sciences 28 (2008),
1134-1147.
[11] R. Kan and G. Zhou, Tests of Mean-Variance Spanning, Working
Paper, University of Toronto and Washington University in St. Louis,
2008.
[12] B. Korki and H. J. Turtle, A note on the analytics and geometry
of limiting mean-variance investment opportunity sets, Review of
Quantitative Finance and Accounting 9 (1994), 289-300.
[13] B. Korki and H. J. Turtle, A mean-variance analysis of
self-financing portfolios, Management Science 48 (2002), 427-433.
[14] Z. F. Li, Z. X. Li, S. Y. Wang and X. T. Deng, Optimal portfolio
selection of assets with transaction costs and no short sales,
International Journal of Systems Science 32 (2001), 599-607.
[15] C. A. Los, Optimal multi-currency investment strategies with
exact attribution in three Asian countries, Journal of Multinational
Financial Management 8 (1998), 169-198.
[16] H. Markowitz, R. Lacey and J. Plymen, The general mean-variance
portfolio selection problem (and discussion), Phil. Trans. R. Soc.
Lond. A. (1994), 543-549.
[17] M. Nakasato and K. Furukawa, On the number of securities which
constitute an efficient portfolio, Annals of Operations Research 45
(1993), 333-347.
[18] A. Perold, Large-scale portfolio optimization, Management Science
30 (1984), 1143-1160.
[19] S. Ross, Mutual fund separation in financial theory: The
separating distributions, Journal of Economic Theory 17 (1978),
254-286.
[20] M. Rothschild and J. Stiglitz, Increasing risk I: A definition,
Journal of Economic Theory 2 (1970), 225-243.
[21] M. Rothschild and J. Stiglitz, Increasing risk II: Its economics
consequences, Journal of Economic Theory 3 (1971), 66-84.
[22] P. J. Ryan and J. Lefoll, A comment on mean-variance portfolio
selection with either a singular or a non-singular variance-covariance
matrix, Journal of Financial and Quantitative Analysis 16 (1981),
389-396.
[23] G. P. Szegö, Portfolio Theory: With Application to Bank Asset
Management, Academic Press, New York, 1980.
[24] A. D. Ukhov, Expanding the frontier one asset at a time, Finance
Research Letter 3 (2006), 194-206.
[25] J. VöRöS, The explicit derivation of the efficient
portfolio frontier in the case of degeneracy and general singularity,
European Journal of Operational Research 32 (1987), 302-310.
[26] S. M. Zhang, S. Y. Wang and X. T. Deng, Portfolio selection
theory with different interest rates for borrowing and lending,
Journal of Global Optimization 28 (2004), 67-95.
[27] W. G. Zhang, W. L. Xiao and W. L. Xu, A possibilisitic portfolio
adjusting model with new added assets, Economic Modelling 27 (2010),
208-213.