-
1
-
-
22844457303
-
Regular zeros of a quadratic mapping and local controllability of nonlinear systems
-
A. V. Arutyunov and V. N. Rozova, Regular zeros of a quadratic mapping and local controllability of nonlinear systems, Differential Equations, 35 (1999), 723-728.
-
(1999)
Differential Equations
, vol.35
, pp. 723-728
-
-
Arutyunov, A.V.1
Rozova, V.N.2
-
2
-
-
51249170448
-
Problems of distance geometry and convex properties of quadratic maps
-
A. I. Barvinok, Problems of distance geometry and convex properties of quadratic maps, Discrete Comput. Geom., 13 (1995), 189-202.
-
(1995)
Discrete Comput. Geom.
, vol.13
, pp. 189-202
-
-
Barvinok, A.I.1
-
3
-
-
0141947819
-
Convexity, duality and optimization
-
Lecture Notes, University of Michigan
-
A. I. Barvinok, Convexity, Duality and Optimization, Lecture Notes, University of Michigan, 1998.
-
(1998)
-
-
Barvinok, A.I.1
-
4
-
-
24444481168
-
On convex properties of the quadratic image of the sphere
-
Preprint, University of Michigan
-
A. I. Barvinok, On convex properties of the quadratic image of the sphere, Preprint, University of Michigan, 1999.
-
(1999)
-
-
Barvinok, A.I.1
-
5
-
-
0004217842
-
Joint positiveness of matrices
-
Unpublished manuscript
-
H. F. Bohnenblust, Joint positiveness of matrices, Unpublished manuscript.
-
-
-
Bohnenblust, H.F.1
-
6
-
-
0010120775
-
On the fields of values of a matrix
-
L. Brickman, On the fields of values of a matrix, Proc. Amer. Math. Soc., 12 (1961), 61-66.
-
(1961)
Proc. Amer. Math. Soc.
, vol.12
, pp. 61-66
-
-
Brickman, L.1
-
7
-
-
84966261323
-
Linear systems of real quadratic forms
-
E. Calabi, Linear systems of real quadratic forms, Proc. Amer. Math. Soc., 15 (1964), 844-846.
-
(1964)
Proc. Amer. Math. Soc.
, vol.15
, pp. 844-846
-
-
Calabi, E.1
-
8
-
-
0141913419
-
A note on quadratic forms
-
X. Chen and Y. Yuan, A note on quadratic forms, Math. Programming, 86 (1999), 187-197.
-
(1999)
Math. Programming
, vol.86
, pp. 187-197
-
-
Chen, X.1
Yuan, Y.2
-
9
-
-
21844495729
-
An alternative theorem for quadratic forms and extensions
-
J.-P. Crouzeix, J. E. Martinez-Legaz, and A. Seeger, An alternative theorem for quadratic forms and extensions, Linear Algebra Appl., 215 (1995), 121-134.
-
(1995)
Linear Algebra Appl.
, vol.215
, pp. 121-134
-
-
Crouzeix, J.-P.1
Martinez-Legaz, J.E.2
Seeger, A.3
-
10
-
-
0037958862
-
On the mapping of quadratic forms
-
L. L. Dines, On the mapping of quadratic forms, Bull. Amer. Math. Soc., 47 (1941), 494-498.
-
(1941)
Bull. Amer. Math. Soc.
, vol.47
, pp. 494-498
-
-
Dines, L.L.1
-
11
-
-
0001641947
-
Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen
-
P. Finsler, Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen, Comment. Math. Helv. 9 (1936/37), 188-192.
-
(1936)
Comment. Math. Helv.
, pp. 188-192
-
-
Finsler, P.1
-
12
-
-
0004290782
-
-
Springer-Verlag, 1958; Heidelberger Taschenbücker
-
W. Greub, Linear Algebra, 1st edn., Springer-Verlag, 1958; Heidelberger Taschenbücker, Bd. 179, 1976.
-
(1976)
Linear Algebra, 1st Edn.
, vol.179
-
-
Greub, W.1
-
13
-
-
0033181498
-
Two extensions to Finsler's recurring theorem
-
C. Hamburger, Two extensions to Finsler's recurring theorem, Appl. Math. Optim., 40 (1999), 183-190.
-
(1999)
Appl. Math. Optim.
, vol.40
, pp. 183-190
-
-
Hamburger, C.1
-
14
-
-
0003316862
-
Convex analysis and minimization algorithms I
-
Springer-Verlag, Berlin
-
J.-B. Hiriart-Urruty and C. Lemarechal, Convex Analysis and Minimization Algorithms I, Grundleheren der mathematischen Wissenschaften, vol. 305, Springer-Verlag, Berlin, 1993.
-
(1993)
Grundleheren der Mathematischen Wissenschaften
, vol.305
-
-
Hiriart-Urruty, J.-B.1
Lemarechal, C.2
-
16
-
-
0141947815
-
A generalization of Finsler's theorem for quadratic inequalities and equalities
-
D. H. Jacobson, A generalization of Finsler's theorem for quadratic inequalities and equalities, Questiones Math., 1 (1976), 19-28.
-
(1976)
Quaestiones Math.
, vol.1
, pp. 19-28
-
-
Jacobson, D.H.1
-
17
-
-
0041856546
-
Eigenvalue-constrained faces
-
A. S. Lewis, Eigenvalue-constrained faces, Linear Algebra Appl., 269 (1998), 159-181.
-
(1998)
Linear Algebra Appl.
, vol.269
, pp. 159-181
-
-
Lewis, A.S.1
-
18
-
-
0141947812
-
Lagrange duality in nonconvex optimization theory and modifications of the Toeplitz-Hausdorff theorem
-
A. Matveev, Lagrange duality in nonconvex Optimization theory and modifications of the Toeplitz-Hausdorff theorem, St Petersburg Math. J., 7 (1996), 787-815.
-
(1996)
St Petersburg Math. J.
, vol.7
, pp. 787-815
-
-
Matveev, A.1
-
19
-
-
0141982395
-
On the convexity of the ranges of quadratic mappings
-
A. S. Matveev, On the convexity of the ranges of quadratic mappings, St Petersburg Math. J., 10 (1999), 343-372.
-
(1999)
St Petersburg Math. J.
, vol.10
, pp. 343-372
-
-
Matveev, A.S.1
-
20
-
-
0001253761
-
Power distribution inequalities in optimization and robustness of uncertain systems
-
A. Megretsky and S. Treil, Power distribution inequalities in Optimization and robustness of uncertain systems, Math. Systems Estimation Control, 3 (1993), 301-319.
-
(1993)
Math. Systems Estimation Control
, vol.3
, pp. 301-319
-
-
Megretsky, A.1
Treil, S.2
-
21
-
-
0032259651
-
Convexity of quadratic transformations and its use in control and optimization
-
B. T. Polyak, Convexity of quadratic transformations and its use in Control and Optimization, J. Optim. Theory Appl., 99 (1998), 553-583.
-
(1998)
J. Optim. Theory Appl.
, vol.99
, pp. 553-583
-
-
Polyak, B.T.1
-
22
-
-
21744437382
-
Generalized numerical ranges, joint positive definitness and multiple eigenvalues
-
Y.T. Poon, Generalized numerical ranges, joint positive definitness and multiple eigenvalues, Proc. Amer. Math. Soc., 125 (1997), 1625-1634.
-
(1997)
Proc. Amer. Math. Soc.
, vol.125
, pp. 1625-1634
-
-
Poon, Y.T.1
-
23
-
-
0003582391
-
Convexity and optimization in finite dimension I
-
Springer-Verlag, New York
-
J. Stoer and C. Witzgall, Convexity and Optimization in Finite Dimension I, Springer-Verlag, New York, 1970.
-
(1970)
-
-
Stoer, J.1
Witzgall, C.2
-
24
-
-
0001175776
-
A recurring theorem about pairs of quadratic forms and extension: A survey
-
F. Uhlig, A recurring theorem about pairs of quadratic forms and extension: a survey, Linear Algebra Appl., 25 (1979), 219-237.
-
(1979)
Linear Algebra Appl.
, vol.25
, pp. 219-237
-
-
Uhlig, F.1
-
25
-
-
0026895462
-
Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints
-
V. A. Yakubovich, Nonconvex optimization problem: the infinite-horizon linear-quadratic control problem with quadratic constraints, Systems Control Lett., 19 (1992), 13-22.
-
(1992)
Systems Control Lett.
, vol.19
, pp. 13-22
-
-
Yakubovich, V.A.1
-
26
-
-
0002765829
-
On a subproblem of trust region algorithms for constrained optimization
-
Y. Yuan, On a subproblem of trust region algorithms for constrained optimization, Math. Programming, 47 (1990), 53-63.
-
(1990)
Math. Programming
, vol.47
, pp. 53-63
-
-
Yuan, Y.1
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