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» On the Complexity of Matrix Rank and Rigidity
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CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 4 months ago
The Stability of Low-Rank Matrix Reconstruction: a Constrained Singular Value View
The stability of low-rank matrix reconstruction is investigated in this paper. The -constrained minimal singular value ( -CMSV) of the measurement operator is shown to determine t...
Gongguo Tang, Arye Nehorai
MOR
2007
116views more  MOR 2007»
13 years 6 months ago
Complex Matrix Decomposition and Quadratic Programming
This paper studies the possibilities of the Linear Matrix Inequality (LMI) characterization of the matrix cones formed by nonnegative complex Hermitian quadratic functions over sp...
Yongwei Huang, Shuzhong Zhang
COCO
2005
Springer
106views Algorithms» more  COCO 2005»
14 years 26 days ago
The Complexity of the Inertia and Some Closure Properties of GapL
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
Thanh Minh Hoang, Thomas Thierauf
ECCC
2002
103views more  ECCC 2002»
13 years 7 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
CVPR
2005
IEEE
14 years 9 months ago
On the Absolute Quadratic Complex and Its Application to Autocalibration
This article introduces the absolute quadratic complex formed by all lines that intersect the absolute conic. If denotes the 3 ? 3 symmetric matrix representing the image of that ...
Jean Ponce, Kenton McHenry, Théodore Papado...