-
1
-
-
0030305239
-
Quaternionic determinants
-
H. Aslaksen, Quaternionic Determinants, The Math. Intel. 18, No. 3, 57-65
-
The Math. Intel.
, vol.18
, Issue.3
, pp. 57-65
-
-
Aslaksen, H.1
-
2
-
-
0000864732
-
On the theory of mixed volumes of convex bodies, IV, Mixed discriminants and mixed volumes
-
A. Aleksandrov, On the theory of mixed volumes of convex bodies, IV, Mixed discriminants and mixed volumes (in Russian), Mat. Sb. (N.S.) 3 (1938), 227-251.
-
(1938)
Mat. Sb. (N.S.)
, vol.3
, pp. 227-251
-
-
Aleksandrov, A.1
-
3
-
-
38249024073
-
Mixed discriminants of positive semidefinite matrices
-
R. B. Bapat, Mixed discriminants of positive semidefinite matrices, Linear Algebra and its Applications 126, 107-124, 1989.
-
(1989)
Linear Algebra and Its Applications
, vol.126
, pp. 107-124
-
-
Bapat, R.B.1
-
4
-
-
0030082798
-
Two algorithmic results for the Traveling Salesman Problem
-
2001 version from researchindex.com
-
A. I. Barvinok, Two algorithmic results for the Traveling Salesman Problem, Math. Oper. Res. 21 (1996), 65-84 (2001 version from researchindex.com).
-
(1996)
Math. Oper. Res.
, vol.21
, pp. 65-84
-
-
Barvinok, A.I.1
-
5
-
-
0031536363
-
Computing mixed discriminants, mixed volumes, and permanents
-
A. I. Barvinok, Computing Mixed Discriminants, Mixed Volumes, and Permanents, Discrete & Computational Geometry, 18 (1997), 205-237.
-
(1997)
Discrete & Computational Geometry
, vol.18
, pp. 205-237
-
-
Barvinok, A.I.1
-
6
-
-
0033479677
-
Polynomial time algorithms to approximate permanents and mixed discriminants within a simply exponential factor
-
A. I. Barvinok, Polynomial time algorithms to approximate permanents and mixed discriminants within a simply exponential factor, Random Structures & Algorithms, 14 (1999), 29-61.
-
(1999)
Random Structures & Algorithms
, vol.14
, pp. 29-61
-
-
Barvinok, A.I.1
-
7
-
-
0040487391
-
Hyperbolic polynomials and Convex analysis
-
H.H. Bauschke, O. Guler, A.S. Lewis and H.S. Sendov, Hyperbolic polynomials and Convex analysis, Canad. J. Math. Vol 53, 2001, 470-488.
-
(2001)
Canad. J. Math.
, vol.53
, pp. 470-488
-
-
Bauschke, H.H.1
Guler, O.2
Lewis, A.S.3
Sendov, H.S.4
-
8
-
-
0346401580
-
Homogeneous mltivariate polynomials with the half plane property
-
Y.-B. Choe, J.G. Oxley, A. D. Sokal and D.G. Wagner, Homogeneous mltivariate polynomials with the half plane property, Advances in Applied Mathematics 32 (2004), 88-187.
-
(2004)
Advances in Applied Mathematics
, vol.32
, pp. 88-187
-
-
Choe, Y.-B.1
Oxley, J.G.2
Sokal, A.D.3
Wagner, D.G.4
-
9
-
-
0001444508
-
The solution of van der Waerden's problem for permanents
-
G.P. Egorychev, The solution of van der Waerden's problem for permanents, Advances in Math., 42, 299-305, 1981.
-
(1981)
Advances in Math.
, vol.42
, pp. 299-305
-
-
Egorychev, G.P.1
-
10
-
-
0001255036
-
Proof of the van der Waerden's conjecture on the permanent of a doubly stochastic matrix
-
in Russian
-
D. I. Falikman, Proof of the van der Waerden's conjecture on the permanent of a doubly stochastic matrix, Mat. Zametki 29, 6: 931-938, 957, 1981, (in Russian).
-
(1981)
Mat. Zametki
, vol.29
, Issue.6
, pp. 931-938
-
-
Falikman, D.I.1
-
11
-
-
0000078158
-
An inequality for hyperbolic polynomials
-
L.Garding, An inequality for hyperbolic polynomials, Jour, of Math. and Mech., 8(6): 957-965, 1959.
-
(1959)
Jour, of Math. and Mech.
, vol.8
, Issue.6
, pp. 957-965
-
-
Garding, L.1
-
13
-
-
0031145491
-
Hyperbolic polynomials and interior point methods for convex programming
-
O. Guler, Hyperbolic polynomials and interior point methods for convex programming, Math. Oper. Res. (2) 22(1997), 350-377.
-
(1997)
Math. Oper. Res. (2)
, vol.22
, pp. 350-377
-
-
Guler, O.1
-
16
-
-
0033727271
-
A deterministic polynomial-time algorithm for approximating mixed discriminant and mixed volume
-
ACM, New York
-
L.Gurvits and A. Samorodnitsky, A deterministic polynomial-time algorithm for approximating mixed discriminant and mixed volume, Proc. 32 ACM Symp. on Theory of Computing, ACM, New York, 2000.
-
(2000)
Proc. 32 ACM Symp. on Theory of Computing
-
-
Gurvits, L.1
Samorodnitsky, A.2
-
17
-
-
0035999219
-
A deterministic algorithm approximating the mixed discriminant and mixed volume, and a combinatorial corollary
-
L.Gurvits and A. Samorodnitsky, A deterministic algorithm approximating the mixed discriminant and mixed volume, and a combinatorial corollary, Discrete Comput. Geom. 27: 531 -550, 2002.
-
(2002)
Discrete Comput. Geom.
, vol.27
, pp. 531-550
-
-
Gurvits, L.1
Samorodnitsky, A.2
-
18
-
-
0002075947
-
The deflation-inflation method for certain semidefinite programming and maximum determinant completion problems
-
L.Gurvits and P.Yianilos, The deflation-inflation method for certain semidefinite programming and maximum determinant completion problems, NECI technical report, 1998.
-
(1998)
NECI Technical Report
-
-
Gurvits, L.1
Yianilos, P.2
-
19
-
-
26844556951
-
Van der Waerden conjecture for mixed discriminants
-
L. Gurvits, Van der Waerden Conjecture for Mixed Discriminants, Advances in Mathematics, 2005. (Available at the journal web page.)
-
(2005)
Advances in Mathematics
-
-
Gurvits, L.1
-
20
-
-
33748116735
-
Hyperbolic polynomials approach to Van der Waerden/Schrijver-Valiant like conjectures : Sharper bounds
-
L. Gurvits, Hyperbolic Polynomials Approach to Van der Waerden/Schrijver-Valiant like Conjectures : Sharper Bounds, Simpler Proofs and Algorithmic Applications, 2005 ; available at http://xxx.lanl.gov/abs/math.CO/ 0510452.
-
(2005)
Simpler Proofs and Algorithmic Applications
-
-
Gurvits, L.1
-
22
-
-
0039227488
-
Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms
-
A.G. Khovanskii, Analogues of the Aleksandrov-Fenchel inequalities for hyperbolic forms, Soviet Math. Dokl. 29(1984), 710-713.
-
(1984)
Soviet Math. Dokl.
, vol.29
, pp. 710-713
-
-
Khovanskii, A.G.1
-
24
-
-
0031619018
-
A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
-
ACM, New York
-
N. Linial, A. Samorodnitsky and A. Wigderson, A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents, Proc. 30 ACM Symp. on Theory of Computing, ACM, New York, 1998.
-
(1998)
Proc. 30 ACM Symp. on Theory of Computing
-
-
Linial, N.1
Samorodnitsky, A.2
Wigderson, A.3
-
25
-
-
0039977014
-
Maximising the permanent of (0, 1)-matrices and the number of extensions of Latin rectangles
-
Research Paper 11, (electronic)
-
B.D.McKay, I.M. Wanless, Maximising the permanent of (0, 1)-matrices and the number of extensions of Latin rectangles, Electron. J. Combin. 5 (1998) : Research Paper 11, 20 pp. (electronic).
-
(1998)
Electron. J. Combin.
, vol.5
-
-
McKay, B.D.1
Wanless, I.M.2
-
26
-
-
0004193192
-
-
Addison-Wesley, Reading, MA
-
H.Minc, Permanents, Addison-Wesley, Reading, MA, 1978.
-
(1978)
Permanents
-
-
Minc, H.1
-
27
-
-
0031619018
-
A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
-
ACM, New York
-
N. Linial, A. Samorodnitsky and A. Wigderson, A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents, Proc. 30 ACM Symp. on Theory of Computing, ACM, New York, 1998.
-
(1998)
Proc. 30 ACM Symp. on Theory of Computing
-
-
Linial, N.1
Samorodnitsky, A.2
Wigderson, A.3
-
30
-
-
33748113309
-
-
to appear in Foundations of Computational Mathematics (FOCM)
-
J. Renegar, Hyperbolic programs, and their derivative relaxations, 2004 ; to appear in Foundations of Computational Mathematics (FOCM) ; available at http://www.optimization-online.org.
-
(2004)
Hyperbolic Programs, and Their Derivative Relaxations
-
-
Renegar, J.1
-
31
-
-
0003506783
-
-
Encyclopedia of Mathematics and Its Applications, Cambridge University Press, New York
-
R. Schneider, Convex bodies: The Brunn-Minkowski Theory, Encyclopedia of Mathematics and Its Applications, vol. 44, Cambridge University Press, New York, 1993.
-
(1993)
Convex Bodies: the Brunn-Minkowski Theory
, vol.44
-
-
Schneider, R.1
-
34
-
-
0039927851
-
A lower bound for the permanents of certain (0,1) matrices
-
M. Voorhoeve, A lower bound for the permanents of certain (0,1) matrices, Indagationes Mathematicae 41 (1979) 83-86.
-
(1979)
Indagationes Mathematicae
, vol.41
, pp. 83-86
-
-
Voorhoeve, M.1
|