Description Usage Arguments Details Value References Examples

`snl`

solves the sensor network problem with
partial distance (squared) matrix D, and anchor positions anchors, in
dimension d.

1 |

`D` |
The partial distance matrix specifying the known distances between nodes. If anchors is specified (and is a pxr matrix), the p final columns and p final rows specify the distances between the anchors specified in anchors. |

`d` |
the dimension for the resulting completion |

`anchors` |
a pxr matrix specifying the d dimensional locations of the p anchors. If the anchorless problem is to be solved, anchors = NULL |

Set anchors=NULL to solve the anchorless (Euclidean distance matrix completion) problem in dimension d.

NOTE: When anchors is specified, the distances between the anchors must be in the bottom right corner of the matrix D, and anchors must have d columns.

X the d-dimensional positions of the localized sensors. Note that it may be the case that not all sensors could be localized, in which case X contains the positions of only the localized sensors.

Nathan Krislock and Henry Wolkowicz. Explicit sensor network localization using semidefinite representations and facial reductions. SIAM Journal on Optimization, 20(5):2679-2708, 2010.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 | ```
D <- matrix(c(0,NA,.1987,NA,.0595,NA,.0159,.2251,.0036,.0875,
NA,0,.0481,NA,NA,.0515,NA,.2079,.2230,NA,
.1987,.0481,0,NA,NA,.1158,NA,NA,.1553,NA,
NA,NA,NA,0,NA,NA,NA,.2319,NA,NA,
.0595,NA,NA,NA,0,NA,.1087,.0894,.0589,.0159,
NA,.0515,.1158,NA,NA,0,NA,NA,NA,NA,
.0159,NA,NA,NA,.1087,NA,0,.3497,.0311,.1139,
.2251,.2079,NA,.2319,.0894,NA,.3497,0,.1918,.1607,
.0036,.2230,.1553,NA,.0589,NA,.0311,.1918,0,.1012,
.0875,NA,NA,NA,.0159,NA,.1139,.1607,.1012,0),nrow=10, byrow=TRUE)
anchors <- matrix(c(.5131,.9326,
.3183,.3742,
.5392,.7524,
.2213,.7631), nrow=4,byrow=TRUE)
d <- 2
#Anchorless Problem
edmc(D, method="snl", d=2, anchors=NULL)
#Anchored Problem
edmc(D, method="snl", d=2, anchors=anchors)
``` |

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