-
1
-
-
0345116314
-
Interest rate model calibration using semidefinite programming
-
A. d'Aspremont, Interest rate model calibration using semidefinite programming, Appl. Math. Finance, 10 (2003), pp. 183-213.
-
(2003)
Appl. Math. Finance
, vol.10
, pp. 183-213
-
-
D'aspremont, A.1
-
2
-
-
84861314023
-
Risk-management method for the Libor market model using semidefinite programming
-
A. d'Aspremont, Risk-management method for the Libor market model using semidefinite programming, J. Comput. Finance, 8 (2005), pp. 77-99.
-
(2005)
J. Comput. Finance
, vol.8
, pp. 77-99
-
-
D'aspremont, A.1
-
3
-
-
0031141136
-
Complementarity and nondegeneracy in semidefinite programming
-
PII S0025561096000792
-
F. Alizadeh, J.-P. A. Haeberly, and M. L. Overton, Complementarity and nondegeneracy in semidefinite programming, Math. Program., 77 (1997), pp. 111-128. (Pubitemid 127412627)
-
(1997)
Mathematical Programming, Series B
, vol.77
, Issue.2
, pp. 111-128
-
-
Alizadeh, F.1
Haeberly, J.-P.A.2
Overton, M.L.3
-
5
-
-
84927914894
-
On matrices depending on parameters
-
V. I. Arnold, On matrices depending on parameters, Russian Math. Surveys, 26 (1971), pp. 29-43.
-
(1971)
Russian Math. Surveys
, vol.26
, pp. 29-43
-
-
Arnold, V.I.1
-
7
-
-
34547344235
-
Implementation of a primal-dual method for SDP on a shared memory parallel architecture
-
DOI 10.1007/s10589-007-9030-3
-
B. Borchers and J. G. Young, Implementation of a primal-dual method for SDP on a shared memory parallel architecture, Comput. Optim. Appl., 37 (2007), pp. 355-369. (Pubitemid 47139046)
-
(2007)
Computational Optimization and Applications
, vol.37
, Issue.3
, pp. 355-369
-
-
Borchers, B.1
Young, J.G.2
-
8
-
-
85120507955
-
A preconditioned Newton algorithm for the nearest correlation matrix
-
to appear
-
R. Borsdorf and N. J. Higham, A preconditioned Newton algorithm for the nearest correlation matrix, IMA J. Numer. Anal., to appear.
-
IMA J. Numer. Anal.
-
-
Borsdorf, R.1
Higham, N.J.2
-
9
-
-
0026869613
-
Partially finite convex programming, part II: Explicit lattice models
-
J. Borwein and A. S. Lewis, Partially finite convex programming, part II: Explicit lattice models, Math. Program., 57 (1992), pp. 49-83.
-
(1992)
Math. Program.
, vol.57
, pp. 49-83
-
-
Borwein, J.1
Lewis, A.S.2
-
10
-
-
33646249113
-
Least-squares covariance matrix adjustment
-
S. Boyd and L. Xiao, Least-squares covariance matrix adjustment, SIAM J. Matrix Anal. Appl., 27 (2005), pp. 532-546.
-
(2005)
SIAM J. Matrix Anal. Appl.
, vol.27
, pp. 532-546
-
-
Boyd, S.1
Xiao, L.2
-
11
-
-
58049197110
-
Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming
-
Z. X. Chan and D. Sun, Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming, SIAM J. Optim., 19 (2008), pp. 370-396.
-
(2008)
SIAM J. Optim.
, vol.19
, pp. 370-396
-
-
Chan, Z.X.1
Sun, D.2
-
12
-
-
0030284902
-
1 convex constrained optimization
-
X. Chen, Convergence of the BFGS method for LC1 convex constrained optimization, SIAM J. Control Optim., 34 (1996), pp. 2051-2063. (Pubitemid 126630028)
-
(1996)
SIAM Journal on Control and Optimization
, vol.34
, Issue.6
, pp. 2051-2063
-
-
Chen, X.1
-
14
-
-
0003735415
-
-
Aacdemic Press, Boston
-
R. W. Cottle, J.-S. Pang, and R. E. Stone, The Linear Complementarity Problem, Aacdemic Press, Boston, 1992.
-
(1992)
The Linear Complementarity Problem
-
-
Cottle, R.W.1
Pang, J.-S.2
Stone, R.E.3
-
15
-
-
8644260616
-
Best approximation in inner product spaces
-
Springer, New York
-
F. Deutsch, Best Approximation in Inner Product Spaces, CMS Books Math. Ouvrages Math. SMC 7, Springer, New York, 2001.
-
(2001)
CMS Books Math. Ouvrages Math. SMC
, vol.7
-
-
Deutsch, F.1
-
16
-
-
0001669049
-
A Dual Approach to Constrained Interpolationfrom a Convex Subset of Hilbert Space
-
DOI 10.1006/jath.1996.3082, PII S0021904596930828
-
F. Deutsch, W. Li, and J. D. Ward, A dual approach to constrained interpolation from a convex subset of Hilbert space, J. Approx. Theory, 90 (1997), pp. 385-414. (Pubitemid 127344252)
-
(1997)
Journal of Approximation Theory
, vol.90
, Issue.3
, pp. 385-414
-
-
Deutsch, F.1
Li, W.2
Ward, J.D.3
-
17
-
-
84963450943
-
Duality and well-posedness in convex interpolation
-
A. L. Dontchev and B. D. Kalchev, Duality and well-posedness in convex interpolation, Numer. Funct. Anal. Optim., 10 (1989), pp. 673-689.
-
(1989)
Numer. Funct. Anal. Optim.
, vol.10
, pp. 673-689
-
-
Dontchev, A.L.1
Kalchev, B.D.2
-
18
-
-
0035595452
-
Convergence of Newton's method for convex best interpolation
-
A. L. Dontchev, H.-D. Qi, and L. Qi, Convergence of Newton's method for convex best interpolation, Numer. Math., 87 (2001), pp. 435-456.
-
(2001)
Numer. Math.
, vol.87
, pp. 435-456
-
-
Dontchev, A.L.1
Qi, H.-D.2
Qi, L.3
-
19
-
-
0013103572
-
Quadratic convergence of Newton's method for convex interpolation and smoothing
-
A. L. Dontchev, H.-D. Qi, and L. Qi, Quadratic convergence of Newton's method for convex interpolation and smoothing, Constr. Approx., 19 (2003), pp. 123-143.
-
(2003)
Constr. Approx.
, vol.19
, pp. 123-143
-
-
Dontchev, A.L.1
Qi, H.-D.2
Qi, L.3
-
20
-
-
84948499836
-
An algorithm for restricted least squares regression
-
R. L. Dykstra, An algorithm for restricted least squares regression, J. Amer. Statist. Assoc., 78 (1983), pp. 837-842.
-
(1983)
J. Amer. Statist. Assoc.
, vol.78
, pp. 837-842
-
-
Dykstra, R.L.1
-
21
-
-
0001918140
-
On the basic theorem for complementarity
-
B. C. Eaves, On the basic theorem for complementarity, Math. Program., 1 (1971), pp. 68-75.
-
(1971)
Math. Program.
, vol.1
, pp. 68-75
-
-
Eaves, B.C.1
-
23
-
-
0000554369
-
Solution of monotone complementarity problems with locally Lipschitzian functions
-
PII S0025561096000597
-
A. Fischer, Solution of monotone complementarity problems with locally Lipschitzian functions, Math. Program., 76 (1997), pp. 513-532. (Pubitemid 127380006)
-
(1997)
Mathematical Programming, Series B
, vol.76
, Issue.3
, pp. 513-532
-
-
Fischer, A.1
-
25
-
-
0344153904
-
Computing the nearest correlation matrix - A problem from finance
-
DOI 10.1093/imanum/22.3.329
-
N. J. Higham, Computing the nearest correlation matrix-a problem from finance, IMA J. Numer. Anal., 22 (2002), pp. 329-343. (Pubitemid 37445900)
-
(2002)
IMA Journal of Numerical Analysis
, vol.22
, Issue.3
, pp. 329-343
-
-
Higham, N.J.1
-
26
-
-
0001701112
-
Constrained interpolation and smoothing
-
L. D. Irvine, S. P. Marin, and P. W. Smith, Constrained interpolation and smoothing, Constr. Approx., 2 (1986), pp. 129-151.
-
(1986)
Constr. Approx.
, vol.2
, pp. 129-151
-
-
Irvine, L.D.1
Marin, S.P.2
Smith, P.W.3
-
27
-
-
85153127913
-
Newton's method for nondifferentiable functions
-
Akademie-Verlag, Berlin
-
B. Kummer, Newton's method for nondifferentiable functions, in Advances in Mathematical Optimization, Math. Res. 45, Akademie-Verlag, Berlin, 1988, pp. 114-125.
-
(1988)
Advances in Mathematical Optimization, Math. Res.
, vol.45
, pp. 114-125
-
-
Kummer, B.1
-
28
-
-
34250967722
-
Über monotone matrixfunktionen
-
K. Löwner, Über monotone matrixfunktionen, Math. Z., 38 (1934), pp. 177-216.
-
(1934)
Math. Z.
, vol.38
, pp. 177-216
-
-
Löwner, K.1
-
29
-
-
14544268199
-
A dual approach to semidefinite least-squares problems
-
J. Malick, A dual approach to semidefinite least-squares problems, SIAM J. Matrix Anal. Appl., 26 (2004), pp. 272-284.
-
(2004)
SIAM J. Matrix Anal. Appl.
, vol.26
, pp. 272-284
-
-
Malick, J.1
-
30
-
-
0003129501
-
Constrained Lp approximation
-
C. A. Micchelli, P. W. Smith, J. Swetits, and J. D. Ward, Constrained Lp approximation, Constr. Approx., 1 (1985), pp. 93-102.
-
(1985)
Constr. Approx.
, vol.1
, pp. 93-102
-
-
Micchelli, C.A.1
Smith, P.W.2
Swetits, J.3
Ward, J.D.4
-
31
-
-
0001036636
-
Smoothing and interpolation in a convex subset of a Hilbert space
-
C. A. Micchelli and F. I. Utreras, Smoothing and interpolation in a convex subset of a Hilbert space, SIAM J. Sci. Stat. Comput., 9 (1988), pp. 728-746
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, pp. 728-746
-
-
Micchelli, C.A.1
Utreras, F.I.2
-
32
-
-
55549093536
-
Some theoretical aspects on Newton's method for constrained best interpolation
-
Springer, New York
-
H.-D. Qi, Some theoretical aspects on Newton's method for constrained best interpolation, in Continuous Optimization: Current Trends and Modern Applications, Springer, New York, 2005, pp. 23-49.
-
(2005)
Continuous Optimization: Current Trends and Modern Applications
, pp. 23-49
-
-
Qi, H.-D.1
-
33
-
-
58049191300
-
Positive semidefinite matrix completions on chordal graphs and the constraint nondegeneracy in semidefinite programming
-
H.-D. Qi, Positive semidefinite matrix completions on chordal graphs and the constraint nondegeneracy in semidefinite programming, Linear Algebra Appl., 430 (2009), pp. 1151-1164.
-
(2009)
Linear Algebra Appl.
, vol.430
, pp. 1151-1164
-
-
Qi, H.-D.1
-
34
-
-
34247364678
-
A quadratically convergent newton method for computing the nearest correlation matrix
-
DOI 10.1137/050624509
-
H. Qi and D. Sun, A quadratically convergent Newton method for computing the nearest correlation matrix, SIAM J. Matrix Anal. Appl., 28 (2006), pp. 360-385. (Pubitemid 46639147)
-
(2006)
SIAM Journal on Matrix Analysis and Applications
, vol.28
, Issue.2
, pp. 360-385
-
-
Qi, H.1
Sun, D.2
-
35
-
-
77950517553
-
Correlation stress testing for value-at-risk: An unconstrained convex optimization approach
-
to appear
-
H.-D. Qi and D. F. Sun, Correlation stress testing for value-at-risk: An unconstrained convex optimization approach, Comput. Optim. Appl., to appear.
-
Comput. Optim. Appl.
-
-
Qi, H.-D.1
Sun, D.F.2
-
36
-
-
0000607524
-
Convergence analysis of some algorithms for solving nonsmooth equations
-
L. Qi, Convergence analysis of some algorithms for solving nonsmooth equations, Math. Oper. Res., 18 (1993), pp. 227-244.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 227-244
-
-
Qi, L.1
-
37
-
-
0002287357
-
A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
-
L. Qi, D. F. Sun, and G. Zhou, A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities, Math. Program., 87 (2000), pp. 1-35.
-
(2000)
Math. Program.
, vol.87
, pp. 1-35
-
-
Qi, L.1
Sun, D.F.2
Zhou, G.3
-
38
-
-
0027543961
-
A nonsmooth version of Newton's method
-
L. Qi and J. Sun, A nonsmooth version of Newton's method, Math. Program., 58 (1993), pp. 353-367.
-
(1993)
Math. Program.
, vol.58
, pp. 353-367
-
-
Qi, L.1
Sun, J.2
-
39
-
-
0035238733
-
Regularization of P0-functions in box variational inequality problems
-
G. Ravindran and M. S. Gowda, Regularization of P0-functions in box variational inequality problems, SIAM J. Optim., 11 (2001), pp. 748-760.
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 748-760
-
-
Ravindran, G.1
Gowda, M.S.2
-
40
-
-
0020901152
-
Local structure of feasible sets in nonlinear programming, Part II: Nondegeneracy
-
S. M. Robinson, Local structure of feasible sets in nonlinear programming, Part II: Nondegeneracy, Math. Program. Study, 22 (1984), pp. 217-230.
-
(1984)
Math. Program. Study
, vol.22
, pp. 217-230
-
-
Robinson, S.M.1
-
41
-
-
0004267646
-
-
Princeton University Press, Princeton
-
R. T. Rockafellar, Convex Analyis, Princeton University Press, Princeton, 1970.
-
(1970)
Convex Analyis
-
-
Rockafellar, R.T.1
-
43
-
-
35248812683
-
The most general methodology to create a valid correlation matrix for risk management and option pricing purposes
-
R. Rebonato and P. Jäckel, The most general methodology to create a valid correlation matrix for risk management and option pricing purposes, J. Risk, 2 (1999), pp. 17-27.
-
(1999)
J. Risk
, vol.2
, pp. 17-27
-
-
Rebonato, R.1
Jäckel, P.2
-
44
-
-
0003432569
-
Smoothing an indefinite variance-covariance matrix
-
N. C. Schwertman and D. M. Allen, Smoothing an indefinite variance-covariance matrix, J. Stat. Comput. Simul., 9 (1979), pp. 183-194.
-
(1979)
J. Stat. Comput. Simul.
, vol.9
, pp. 183-194
-
-
Schwertman, N.C.1
Allen, D.M.2
-
45
-
-
0033296299
-
Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
-
J. F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Optim. Methods Softw., 11/12 (1999), pp. 625-653.
-
(1999)
Optim. Methods Softw.
, vol.11-12
, pp. 625-653
-
-
Sturm, J.F.1
-
46
-
-
0036474487
-
Semismooth matrix valued functions
-
D. F. Sun and J. Sun, Semismooth matrix valued functions, Math. Oper. Res., 27 (2002), pp. 150-169.
-
(2002)
Math. Oper. Res.
, vol.27
, pp. 150-169
-
-
Sun, D.F.1
Sun, J.2
-
47
-
-
55549112664
-
Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems
-
K. C. Toh, R. H. Tütüncü, and M. J. Todd, Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems, Pacific J. Optim., 3 (2007), pp. 135-164.
-
(2007)
Pacific J. Optim.
, vol.3
, pp. 135-164
-
-
Toh, K.C.1
Tütüncü, R.H.2
Todd, M.J.3
-
48
-
-
3142743708
-
Solving semidefinite-quadratic-linear programs using SDPT3
-
DOI 10.1007/s10107-002-0347-5
-
R. H. Tütüncü, K. C. Toh, and M. J. Todd, Solving semidefinite-quadratic-linear programs using SDPT3, Math. Program., 95 (2003), pp. 189-217. (Pubitemid 44757853)
-
(2003)
Mathematical Programming, Series B
, vol.95
, Issue.2
, pp. 189-217
-
-
Tutuncu, R.H.1
Toh, K.C.2
Todd, M.J.3
-
49
-
-
0000005482
-
Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
-
H. A. van der Vorst, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 13 (1992), pp. 631-644.
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 631-644
-
-
Van Der Vorst, H.A.1
-
51
-
-
0002130882
-
Projections on convex sets in Hilbert space and spectral theory i and II
-
E. H. Zarantonello, ed., Academic Press, New York
-
E. H. Zarantonello, Projections on convex sets in Hilbert space and spectral theory I and II, in Contributions to Nonlinear Functional Analysis, E. H. Zarantonello, ed., Academic Press, New York, 1971, pp. 237-424.
-
(1971)
Contributions to Nonlinear Functional Analysis
, pp. 237-424
-
-
Zarantonello, E.H.1
|