Euclidean Distance Matrices and Applications

Handbook on Semidefinite, Conic and Polynomial Optimization - International Series in Operations Research & Management Science ◽

10.1007/978-1-4614-0769-0_30 ◽

2011 ◽

pp. 879-914 ◽

Author(s):

Nathan Krislock ◽

Henry Wolkowicz

Keyword(s):

Euclidean Distance ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Faces of the cone of Euclidean distance matrices: Characterizations, structure and induced geometry

Linear Algebra and its Applications ◽

10.1016/j.laa.2005.03.038 ◽

2005 ◽

Vol 408 ◽

pp. 1-13 ◽

Author(s):

Pablo Tarazaga

Keyword(s):

Euclidean Distance ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Euclidean Distance Matrices and Their Applications in Rigidity Theory

10.1007/978-3-319-97846-8 ◽

2018 ◽

Author(s):

Abdo Y. Alfakih

Keyword(s):

Euclidean Distance ◽

Rigidity Theory ◽

Euclidean Distance Matrices ◽

Distance Matrices

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On the nonnegative rank of Euclidean distance matrices

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.03.038 ◽

2010 ◽

Vol 433 (3) ◽

pp. 681-689 ◽

Author(s):

Matthew M. Lin ◽

Moody T. Chu

Keyword(s):

Euclidean Distance ◽

Nonnegative Rank ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Multi-dimensional scaling (MDS), Euclidean distance matrices (EDMs), matrix completion and outlier identification in array calibration and beamforming

The Journal of the Acoustical Society of America ◽

10.1121/1.5137452 ◽

2019 ◽

Vol 146 (4) ◽

pp. 3016-3016

Author(s):

Paul Hursky

Keyword(s):

Euclidean Distance ◽

Matrix Completion ◽

Outlier Identification ◽

Dimensional Scaling ◽

Array Calibration ◽

Euclidean Distance Matrices ◽

Distance Matrices ◽

Multi Dimensional Scaling

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Euclidean distance matrices, semidefinite programming and sensor network localization

Portugaliae Mathematica ◽

10.4171/pm/1881 ◽

2011 ◽

pp. 53-102 ◽

Author(s):

Abdo Alfakih ◽

Miguel Anjos ◽

Veronica Piccialli ◽

Henry Wolkowicz

Keyword(s):

Semidefinite Programming ◽

Sensor Network ◽

Euclidean Distance ◽

Sensor Network Localization ◽

Network Localization ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Euclidean Distance Matrices: Essential theory, algorithms, and applications

IEEE Signal Processing Magazine ◽

10.1109/msp.2015.2398954 ◽

2015 ◽

Vol 32 (6) ◽

pp. 12-30 ◽

Author(s):

Ivan Dokmanic ◽

Reza Parhizkar ◽

Juri Ranieri ◽

Martin Vetterli

Keyword(s):

Euclidean Distance ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Norm estimates for inverses of Euclidean distance matrices

Journal of Approximation Theory ◽

10.1016/0021-9045(92)90064-u ◽

1992 ◽

Vol 70 (3) ◽

pp. 339-347 ◽

Author(s):

Xingping Sun

Keyword(s):

Euclidean Distance ◽

Norm Estimates ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Characterization of multispherical and block structures of Euclidean distance matrices

Linear Algebra and its Applications ◽

10.1016/j.laa.2013.09.008 ◽

2013 ◽

Vol 439 (10) ◽

pp. 3177-3183 ◽

Author(s):

Hiroshi Kurata ◽

Shun Matsuura

Keyword(s):

Euclidean Distance ◽

Euclidean Distance Matrices ◽

Distance Matrices ◽

Block Structures

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Coordinate Shadows of Semidefinite and Euclidean Distance Matrices

SIAM Journal on Optimization ◽

10.1137/140968318 ◽

2015 ◽

Vol 25 (2) ◽

pp. 1160-1178 ◽

Author(s):

Dmitriy Drusvyatskiy ◽

Gábor Pataki ◽

Henry Wolkowicz

Keyword(s):

Euclidean Distance ◽

Euclidean Distance Matrices ◽

Distance Matrices

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Some necessary and some sufficient trace inequalities for Euclidean distance matrices

Linear and Multilinear Algebra ◽

10.1080/03081080701241570 ◽

2007 ◽

Vol 55 (5) ◽

pp. 499-506 ◽

Author(s):

A. Y. Alfakih ◽

Henry Wolkowicz

Keyword(s):

Euclidean Distance ◽

Euclidean Distance Matrices ◽

Distance Matrices ◽

Trace Inequalities

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