-
1
-
-
0040207380
-
On the embeddability of weighted graphs in Euclidean spaces
-
University of Waterloo, Submitted
-
A. Alfakih and H. Wolkowicz, "On the embeddability of weighted graphs in Euclidean spaces," Technical Report CORR Report 98-12, University of Waterloo, 1998. Submitted - URL: ftp://orion.uwaterloo.ca/pub/henry/reports/embedEDM.ps.gz.
-
(1998)
Technical Report CORR Report 98-12
-
-
Alfakih, A.1
Wolkowicz, H.2
-
3
-
-
0013402946
-
Hybrid methods for finding the nearest Euclidean distance matrix
-
World Sci. Publishing River Edge, NJ
-
S. Al-Homidan and R. Fletcher, "Hybrid methods for finding the nearest Euclidean distance matrix," in Recent Advances in Nonsmooth Optimization, World Sci. Publishing River Edge, NJ, 1995, pp. 1-17.
-
(1995)
Recent Advances in Nonsmooth Optimization
, pp. 1-17
-
-
Al-Homidan, S.1
Fletcher, R.2
-
5
-
-
0003169116
-
Interior point methods in semidefinite programming with applications to combinatorial optimization
-
F. Alizadeh, "Interior point methods in semidefinite programming with applications to combinatorial optimization," SIAM Journal on Optimization, vol. 5, pp. 13-51, 1995.
-
(1995)
SIAM Journal on Optimization
, vol.5
, pp. 13-51
-
-
Alizadeh, F.1
-
6
-
-
0003413760
-
Sdppack user's guide - Version 0.8 beta
-
Courant Institute of Mathematical Sciences, NYU, New York, March
-
F. Alizadeh, J.-P. Haeberly, M.V. Nayakkankuppam, and M.L. Overton, "Sdppack user's guide - version 0.8 beta," Technical Report TR1997-734, Courant Institute of Mathematical Sciences, NYU, New York, March 1997.
-
(1997)
Technical Report TR1997-734
-
-
Alizadeh, F.1
Haeberly, J.-P.2
Nayakkankuppam, M.V.3
Overton, M.L.4
-
7
-
-
21844519147
-
The Euclidean distance matrix completion problem
-
M. Bakonyi and C.R. Johnson, "The Euclidean distance matrix completion problem," SIAM J. Matrix Anal. Appl., vol. 16, no. 2, pp. 646-654, 1995.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, Issue.2
, pp. 646-654
-
-
Bakonyi, M.1
Johnson, C.R.2
-
10
-
-
38249028837
-
On certain linear mappings between inner-product and squared distance matrices
-
F. Critchley, "On certain linear mappings between inner-product and squared distance matrices." Linear Algebra Appl., vol. 105, pp. 91-107, 1988.
-
(1988)
Linear Algebra Appl.
, vol.105
, pp. 91-107
-
-
Critchley, F.1
-
11
-
-
0041528360
-
Three theorems with applications to Euclidean distance matrices
-
R.W. Farebrother, "Three theorems with applications to Euclidean distance matrices," Linear Algebra Appl., vol. 95, pp. 11-16, 1987.
-
(1987)
Linear Algebra Appl.
, vol.95
, pp. 11-16
-
-
Farebrother, R.W.1
-
12
-
-
0000771519
-
An alternating projection algorithm for computing the nearest Euclidean distance matrix
-
W. Glunt, T.L. Hayden, S. Hong, and J. Wells, "An alternating projection algorithm for computing the nearest Euclidean distance matrix." SIAM J. Matrix Anal. Appl., vol. 11, no. 4, pp. 589-600, 1990.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, Issue.4
, pp. 589-600
-
-
Glunt, W.1
Hayden, T.L.2
Hong, S.3
Wells, J.4
-
13
-
-
0000457427
-
Semidefinite programming in combinatorial optimization
-
M.X. Goemans, "Semidefinite programming in combinatorial optimization," Mathematical Programmings, vol. 79, pp. 143-162, 1997.
-
(1997)
Mathematical Programmings
, vol.79
, pp. 143-162
-
-
Goemans, M.X.1
-
15
-
-
0038087036
-
Properties of Euclidean and non-Euclidean distance matrices
-
J.C. Gower, "Properties of Euclidean and non-Euclidean distance matrices," Linear Algebra Appl., vol. 67, pp. 81-97, 1985.
-
(1985)
Linear Algebra Appl.
, vol.67
, pp. 81-97
-
-
Gower, J.C.1
-
16
-
-
44949291374
-
The cone of distance matrices
-
T.L. Hayden, J. Wells, W-M. Liu, and P. Tarazaga, "The cone of distance matrices," Linear Algebra Appl., vol. 144, pp. 153-169, 1991.
-
(1991)
Linear Algebra Appl.
, vol.144
, pp. 153-169
-
-
Hayden, T.L.1
Wells, J.2
Liu, W.-M.3
Tarazaga, P.4
-
18
-
-
0030303838
-
An interior point method for semidefinite programming
-
C. Helmberg, F. Rendl, R.J. Vanderbei, and H. Wolkowicz, "An interior point method for semidefinite programming," SIAM Journal on Optimization, pp. 342-361, 1996. URL: ftp://orion.uwaterloo.ca/pub/ henry/reports/sdp.ps.gz.
-
(1996)
SIAM Journal on Optimization
, pp. 342-361
-
-
Helmberg, C.1
Rendl, F.2
Vanderbei, R.J.3
Wolkowicz, H.4
-
20
-
-
0031999150
-
An interior-point method for approximate positive semidefinite completions
-
C. Johnson, B. Kroschel, and H. Wolkowicz, "An interior-point method for approximate positive semidefinite completions," Computational Optimization and Applications, vol. 9, no. 2, pp. 175-190, 1998.
-
(1998)
Computational Optimization and Applications
, vol.9
, Issue.2
, pp. 175-190
-
-
Johnson, C.1
Kroschel, B.2
Wolkowicz, H.3
-
21
-
-
21844491255
-
Connections between the real positive semidefinite and distance matrix completion problems
-
C.R. Johnson and P. Tarazaga, "Connections between the real positive semidefinite and distance matrix completion problems," Linear Algebra Appl., vol. 223/224, pp. 375-391, 1995.
-
(1995)
Linear Algebra Appl.
, vol.223-224
, pp. 375-391
-
-
Johnson, C.R.1
Tarazaga, P.2
-
23
-
-
0012023195
-
The Gauss-Newton direction in linear and semidefinite programming
-
University of Waterloo, Waterloo, Canada
-
S. Kruk, M. Muramatsu, F. Rendl, R.J. Vanderbei, and H. Wolkowicz, "The Gauss-Newton direction in linear and semidefinite programming," Technical Report CORR 98-16, University of Waterloo, Waterloo, Canada, 1998. Detailed Web Version at URL: ftp://orion.uwaterloo.ca/pub/henry/reports/gnsdplong.ps.gz.
-
(1998)
Technical Report CORR 98-16
-
-
Kruk, S.1
Muramatsu, M.2
Rendl, F.3
Vanderbei, R.J.4
Wolkowicz, H.5
-
24
-
-
0007302409
-
A tour d'horizon on positive semidefinite and Euclidean distance matrix completion problems
-
Topics in Semidefinite and Interior-Point Methods, The Fields Institute for Research in Mathematical Sciences, American Mathematical Society: Providence, RI
-
M. Laurent, "A tour d'horizon on positive semidefinite and Euclidean distance matrix completion problems," in Topics in Semidefinite and Interior-Point Methods, The Fields Institute for Research in Mathematical Sciences, Communications Series, vol. 18, American Mathematical Society: Providence, RI, 1998.
-
(1998)
Communications Series
, vol.18
-
-
Laurent, M.1
-
25
-
-
0000402371
-
Theory of multidimensional scaling
-
P.R. Krishnaiah and L.N. Kanal (Eds.), North-Holland
-
J. De Leeuw and W. Heiser, "Theory of multidimensional scaling," in Handbook of Statistics, P.R. Krishnaiah and L.N. Kanal (Eds.), North-Holland, 1982, vol. 2, pp. 285-316.
-
(1982)
Handbook of Statistics
, vol.2
, pp. 285-316
-
-
De Leeuw, J.1
Heiser, W.2
-
26
-
-
0027427057
-
Euclidean distance matrix analysis (EDMA): Estimation of mean form and mean form difference
-
S. Lele, "Euclidean distance matrix analysis (EDMA): Estimation of mean form and mean form difference," Math. Geol., vol. 25, no. 5, pp. 573-602, 1993.
-
(1993)
Math. Geol.
, vol.25
, Issue.5
, pp. 573-602
-
-
Lele, S.1
-
27
-
-
0019138551
-
Differential stability in infinite-dimensional nonlinear programming
-
F. Lempio and H. Maurer, "Differential stability in infinite-dimensional nonlinear programming," Appl. Math. Optim., vol. 6, pp. 139-152, 1980.
-
(1980)
Appl. Math. Optim.
, vol.6
, pp. 139-152
-
-
Lempio, F.1
Maurer, H.2
-
28
-
-
0042029552
-
Global continuation for distance geometry problems
-
Applied Mathematics Division, Argonne National Labs, Chicago, IL
-
J.J. More and Z. Wu, "Global continuation for distance geometry problems," Technical Report MCS-P5050395, Applied Mathematics Division, Argonne National Labs, Chicago, IL, 1996.
-
(1996)
Technical Report MCS-P5050395
-
-
More, J.J.1
Wu, Z.2
-
29
-
-
0042141099
-
Distance geometry optimization for protein structures
-
Applied Mathematics Division, Argonne National Labs, Chicago, IL
-
J.J. Moré and Z. Wu, "Distance geometry optimization for protein structures," Technical Report MCS-P6281296, Applied Mathematics Division, Argonne National Labs, Chicago, IL, 1997.
-
(1997)
Technical Report MCS-P6281296
-
-
Moré, J.J.1
Wu, Z.2
-
31
-
-
0004576555
-
Global minimization of nonconvex energy functions: Molecular conformation and protein folding
-
American Mathematical Society: Providence, RI, Papers from the DIMACS Workshop held as part of the DIMACS Special Year on Mathematical Support for Molecular Biology at Rutgers University, New Brunswick, New Jersey, March
-
P.M. Pardalos, D. Shalloway, and G. Xue (Eds.), "Global minimization of nonconvex energy functions: Molecular conformation and protein folding," DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 23, American Mathematical Society: Providence, RI, 1996. Papers from the DIMACS Workshop held as part of the DIMACS Special Year on Mathematical Support for Molecular Biology at Rutgers University, New Brunswick, New Jersey, March 1995.
-
(1995)
DIMACS Series in Discrete Mathematics and Theoretical Computer Science
, vol.23
-
-
Pardalos, P.M.1
Shalloway, D.2
Xue, G.3
-
32
-
-
0012022721
-
-
Ph.D. Thesis, Carnegie Mellon University, Pittsburgh, PA
-
G. Pataki, "Cone programming and eigenvalue optimization: Geometry and algorithms," Ph.D. Thesis, Carnegie Mellon University, Pittsburgh, PA, 1996.
-
(1996)
Cone Programming and Eigenvalue Optimization: Geometry and Algorithms
-
-
Pataki, G.1
-
33
-
-
0003854074
-
-
Ph.D. Thesis, Johns Hopkins University, Baltimore, MD
-
M.V Ramana, "An algorithmic analysis of multiquadratic and semidefinite programming problems," Ph.D. Thesis, Johns Hopkins University, Baltimore, MD, 1993.
-
(1993)
An Algorithmic Analysis of Multiquadratic and Semidefinite Programming Problems
-
-
Ramana, M.V.1
-
34
-
-
0001203499
-
Remarks to Maurice Frechet's article: Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
-
I.J. Schoenberg, "Remarks to Maurice Frechet's article: Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert," Ann. Math., vol. 36, pp. 724-732, 1935.
-
(1935)
Ann. Math.
, vol.36
, pp. 724-732
-
-
Schoenberg, I.J.1
-
36
-
-
21844504089
-
Circum-Euclidean distance matrices and faces
-
P. Tarazaga, T.L. Hayden, and J. Wells, "Circum-Euclidean distance matrices and faces," Linear Algebra Appl., vol. 232, pp. 77-96, 1996.
-
(1996)
Linear Algebra Appl.
, vol.232
, pp. 77-96
-
-
Tarazaga, P.1
Hayden, T.L.2
Wells, J.3
-
37
-
-
0039661097
-
On search directions in interior-point methods for semidefinite programming
-
School of OR and IE, Cornell University, Ithaca, NY
-
M. Todd, "On search directions in interior-point methods for semidefinite programming," Technical Report TR1205, School of OR and IE, Cornell University, Ithaca, NY, 1997.
-
(1997)
Technical Report TR1205
-
-
Todd, M.1
-
38
-
-
84950351930
-
Multidimensional scaling. I. Theory and method
-
W.S. Torgerson, "Multidimensional scaling. I. Theory and method," Psychometrika, vol. 17, pp. 401-419, 1952.
-
(1952)
Psychometrika
, vol.17
, pp. 401-419
-
-
Torgerson, W.S.1
-
39
-
-
0043031262
-
Applications of multidimensional scaling to molecular conformation
-
Rice University, Houston, Texas
-
M.W. Trosset, "Applications of multidimensional scaling to molecular conformation," Technical Report, Rice University, Houston, Texas, 1997.
-
(1997)
Technical Report
-
-
Trosset, M.W.1
-
40
-
-
0013028749
-
Computing distances between convex sets and subsets of the positive semidefinite matrices
-
Rice University, Houston, Texas
-
M.W. Trosset, "Computing distances between convex sets and subsets of the positive semidefinite matrices," Technical Report, Rice University, Houston, Texas, 1997.
-
(1997)
Technical Report
-
-
Trosset, M.W.1
-
41
-
-
0042530335
-
Distance matrix completion by numerical optimization
-
Rice University, Houston, Texas
-
M.W. Trosset, "Distance matrix completion by numerical optimization," Technical Report, Rice University, Houston, Texas, 1997.
-
(1997)
Technical Report
-
-
Trosset, M.W.1
-
42
-
-
0010670570
-
Positive definite programming
-
The University of Michigan, 1994
-
L. Vandenberghe and S. Boyd, "Positive definite programming," in Mathematical Programming: State of the Art, 1994, The University of Michigan, 1994, pp. 276-308.
-
(1994)
Mathematical Programming: State of the Art
, pp. 276-308
-
-
Vandenberghe, L.1
Boyd, S.2
-
43
-
-
0030106462
-
Semidefinite programming
-
L. Vandenberghe and S. Boyd, "Semidefinite programming," SIAM Review, vol. 38, pp. 49-95, 1996.
-
(1996)
SIAM Review
, vol.38
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
44
-
-
0000890903
-
Some applications of optimization in matrix theory
-
H. Wolkowicz, "Some applications of optimization in matrix theory," Linear Algebra and its Applications, vol. 40, pp. 101-118, 1981.
-
(1981)
Linear Algebra and Its Applications
, vol.40
, pp. 101-118
-
-
Wolkowicz, H.1
-
47
-
-
84877106998
-
On the best Euclidean fit to a distance matrix
-
F.Z. Zhang, "On the best Euclidean fit to a distance matrix," Beijing Shifan Daxue Xuebao, vol. 4, pp. 21-24, 1987.
-
(1987)
Beijing Shifan Daxue Xuebao
, vol.4
, pp. 21-24
-
-
Zhang, F.Z.1
-
48
-
-
0043031261
-
A stochastic/perturbation global optimization algorithm for distance geometry problems
-
Department of Computer Science, University of Colorado, Boulder, CO
-
Z. Zou, R.H. Byrd, and R.B. Schnabel, "A stochastic/perturbation global optimization algorithm for distance geometry problems," Technical Report, Department of Computer Science, University of Colorado, Boulder, CO, 1996.
-
(1996)
Technical Report
-
-
Zou, Z.1
Byrd, R.H.2
Schnabel, R.B.3
|