Robust Semidenite Programming Approaches for Sensor Network Localization with Anchors

[1]  J. Danskin The Theory of Max-Min and its Application to Weapons Allocation Problems , 1967 .

[2]  J. Vandergraft Spectral properties of matrices which have invariant cones , 1968 .

[3]  Michael A. Saunders,et al.  LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.

[4]  Å. Björck Least squares methods , 1990 .

[5]  Mei Han An,et al.  accuracy and stability of numerical algorithms , 1991 .

[6]  J. Dennis,et al.  Sizing and least-change secant methods , 1993 .

[7]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[8]  Henry Wolkowicz,et al.  Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming , 1999, Comput. Optim. Appl..

[9]  R. Vanderbei,et al.  The Gauss-Newton direction in semidefinite programming , 2001 .

[10]  Lei Zhang,et al.  Least Squares Solution of BXAT=T over Symmetric, Skew-Symmetric, and Positive Semidefinite X , 2003, SIAM J. Matrix Anal. Appl..

[11]  Qiang Ye,et al.  A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems , 2003, SIAM J. Matrix Anal. Appl..

[12]  Yinyu Ye,et al.  Semidefinite programming for ad hoc wireless sensor network localization , 2004, Third International Symposium on Information Processing in Sensor Networks, 2004. IPSN 2004.

[13]  Jerry Eriksson,et al.  Local results for the Gauss-Newton method on constrained rank-deficient nonlinear least squares , 2003, Math. Comput..

[14]  Holly Hui Jin,et al.  Scalable sensor localization algorithms for wireless sensor networks , 2005 .

[15]  Anthony Man-Cho So,et al.  Theory of semidefinite programming for Sensor Network Localization , 2005, SODA '05.

[16]  H. Wolkowicz,et al.  Approximate and exact completion problems for Euclidean distance matrices using semidefinite programming , 2005 .

[17]  Jianzhou Liu Eigenvalue and Singular Value Inequalities of Schur Complements , 2005 .

[18]  Y. Ye,et al.  A Distributed Method for Solving Semidefinite Programs Arising from Ad Hoc Wireless Sensor Network Localization , 2006 .

[19]  Kim-Chuan Toh,et al.  Semidefinite Programming Approaches for Sensor Network Localization With Noisy Distance Measurements , 2006, IEEE Transactions on Automation Science and Engineering.