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We consider a parametric family of quadratically constrained quadratic programs (QCQP) and their associated semidefinite programming (SDP) relaxations.
Über das Vorkommen definiter und semidefiniter Formen in Scharen quadratischer Formen
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Strong duality in nonconvex quadratic optimization with two quadratic constraints
A. Beck and Y. C. Eldar · 2006
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Approximate greatest common divisors of several polynomials with linearly constrained coefficients and singular polynomials
E. Kaltofen, Z. Yang, and L. Zhi · 2006
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Algorithms for the weighted orthogonal Procrustes problem and other least squares problems
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A survey of the S-lemma
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J.-P. Aubin and H. Frankowska · 2009
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Implicit functions and solution mappings: a view from variational analysis
A. L. Dontchev and R. T. Rockafellar · 2009
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J. Bochnak, M. Coste, and M.-F. Roy · 2013
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Perturbation analysis of optimization problems
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Algebraic geometry: a first course
J. Harris · 2013
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Characterizations of full stability in constrained optimization
B. S. Mordukhovich, R. T. Rockafellar, and M. E. Sarabi · 2013
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Exact and stable recovery of rotations for robust synchronization
L. Wang and A. Singer · 2013
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Semidefinite relaxations for best rank-1 tensor approximations
J. Nie and L. Wang · 2014
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