Description Details Author(s) References Examples
The semidiscrete decomposition (SDD) approximates a matrix as a weighted sum of outer products formed by vectors with entries constrained to be in the set {-1, 0, 1}.
Package: | sddpack |
Type: | Package |
Version: | 1.0 |
Date: | 2009-06-12 |
License: | GPL v2 |
LazyLoad: | yes |
Tamara G. Kolda, Dianne P. O'Leary (Matlab code) Eric Sun <esun@cs.stanford.edu> (Ported to R)
http://www.cs.umd.edu/~oleary/SDDPACK/#authors
1 2 |
$x
[1,] 0 0 -1 1 -1 -1 0 0 -1 0 -1 0 0 0 1 0 0 1 0 -1 -1 1 0 1
[2,] 0 -1 0 1 -1 0 1 0 1 0 1 0 0 1 -1 1 0 0 -1 1 -1 0 0 1
[3,] -1 1 0 1 0 -1 -1 0 1 0 1 1 0 -1 -1 1 -1 0 1 0 -1 -1 1 -1
[4,] 0 1 0 0 -1 0 0 0 -1 -1 0 0 0 1 1 0 -1 0 1 1 0 1 -1 0
[5,] 0 1 -1 -1 1 -1 0 0 -1 0 1 -1 0 0 1 -1 -1 1 -1 -1 0 1 0 -1
[6,] -1 -1 0 -1 1 0 0 0 0 -1 0 -1 0 -1 0 0 1 1 1 -1 -1 -1 -1 -1
[7,] 1 0 0 1 1 -1 0 0 -1 0 0 0 -1 1 -1 1 0 1 1 0 1 0 1 0
[8,] 0 -1 0 1 0 0 0 -1 -1 0 -1 -1 0 1 0 1 -1 1 0 0 0 -1 -1 0
[9,] 0 1 0 -1 -1 1 0 0 -1 1 1 0 1 0 -1 0 0 -1 1 1 0 0 1 0
[10,] 0 -1 -1 1 1 1 0 0 0 -1 0 1 1 0 1 1 0 0 -1 0 -1 -1 1 1
[1,] 0 -1 0 0 0 1 -1 1 0 0 0 -1 -1 -1 1 0 0 0 0 0 -1 0 -1 -1 1
[2,] 1 1 1 1 0 -1 0 1 0 1 0 1 0 -1 0 -1 0 -1 1 -1 1 -1 0 0 0
[3,] -1 -1 1 0 -1 0 0 1 0 1 0 -1 1 0 0 -1 0 -1 -1 -1 -1 0 1 -1 -1
[4,] -1 1 1 1 -1 0 -1 1 0 0 1 0 0 -1 1 1 0 -1 0 1 1 1 1 0 0
[5,] 0 0 -1 1 1 -1 0 1 1 0 -1 0 0 0 1 0 1 1 0 1 -1 0 -1 -1 1
[6,] 1 0 0 0 0 1 -1 1 1 1 1 -1 1 0 -1 -1 1 1 -1 1 1 -1 1 0 0
[7,] -1 0 0 1 1 1 1 0 0 1 0 -1 -1 -1 -1 1 1 -1 0 1 -1 -1 -1 0 -1
[8,] 0 0 -1 0 0 0 0 1 -1 1 0 0 0 0 1 1 1 1 1 -1 -1 -1 1 1 1
[9,] 0 0 0 1 0 -1 -1 -1 0 0 -1 -1 1 1 1 1 0 -1 1 1 0 0 -1 0 -1
[10,] 0 -1 -1 1 -1 1 1 -1 1 0 1 1 -1 1 0 0 -1 1 0 1 -1 -1 0 0 0
[1,] 1 0 -1 1 -1 0 0 -1 0 1 1 1 0 0 1 0 0 1 -1 0 -1 1 1 1 -1
[2,] 0 1 -1 0 0 -1 0 0 -1 1 -1 0 1 0 0 0 1 -1 -1 0 1 0 -1 0 0
[3,] 1 1 0 0 1 1 -1 0 0 -1 -1 1 1 0 1 1 1 0 1 1 0 0 1 -1 -1
[4,] 1 0 0 0 -1 1 1 1 0 1 -1 -1 0 -1 1 0 -1 -1 -1 1 0 1 -1 1 -1
[5,] -1 0 1 1 1 1 0 0 1 1 0 0 1 -1 -1 0 0 1 0 -1 0 -1 1 1 -1
[6,] 1 0 -1 0 1 -1 1 0 1 0 0 0 -1 -1 0 1 0 -1 -1 0 -1 -1 0 0 0
[7,] 1 0 0 -1 -1 0 -1 -1 0 -1 -1 0 -1 -1 0 1 0 1 0 -1 0 0 0 1 0
[8,] 0 0 0 -1 0 1 1 0 -1 -1 -1 1 0 -1 -1 -1 1 -1 0 0 0 1 1 1 1
[9,] -1 0 0 1 1 0 1 0 -1 -1 1 0 1 0 0 0 -1 0 0 1 0 0 0 1 1
[10,] -1 0 -1 1 -1 0 0 1 1 0 1 1 -1 0 1 0 1 1 0 1 0 0 0 0 0
[1,] 1 -1 0 1 -1 0 1 0 0 0 0 1 1 1 1 0 1 1 -1 1 0 0 0 0 -1
[2,] 1 1 -1 0 0 0 0 0 1 0 1 0 -1 -1 0 0 0 1 1 -1 -1 0 1 0 1
[3,] 0 1 0 1 0 0 -1 0 0 0 0 -1 1 -1 0 1 -1 1 0 1 0 -1 1 -1 1
[4,] -1 1 0 0 -1 1 -1 -1 0 0 0 -1 0 1 0 0 -1 0 0 1 0 -1 -1 1 -1
[5,] 1 -1 0 0 1 -1 -1 0 0 -1 0 0 -1 1 0 1 1 0 0 -1 0 0 0 -1 0
[6,] -1 -1 -1 0 -1 -1 -1 1 -1 0 0 0 0 0 -1 -1 -1 1 -1 -1 -1 -1 1 1 -1
[7,] -1 1 0 1 0 -1 1 0 1 -1 0 -1 0 0 1 0 -1 1 1 1 -1 -1 -1 -1 0
[8,] 0 -1 1 1 0 0 0 1 0 0 0 -1 1 1 0 1 -1 -1 0 1 1 -1 0 0 -1
[9,] 0 1 -1 -1 0 0 1 1 1 -1 0 1 0 0 -1 0 0 1 0 1 1 -1 0 0 1
[10,] 0 -1 -1 1 0 1 1 -1 -1 -1 0 -1 1 0 0 -1 0 0 0 -1 1 0 0 1 1
[1,] -1
[2,] 0
[3,] 0
[4,] 1
[5,] 1
[6,] 0
[7,] 0
[8,] 1
[9,] -1
[10,] -1
$d
[1] 1.333754e+00 5.923973e-01 8.027809e-01 4.776718e-01 3.519658e-01
[6] 5.185880e-01 4.308933e-01 8.783409e-01 2.532136e-01 4.518425e-01
[11] 3.075517e-01 3.156259e-01 3.737634e-01 3.720618e-01 1.274594e-01
[16] 1.973997e-01 1.773824e-01 1.544997e-01 8.307704e-02 6.751287e-02
[21] 7.278688e-02 4.660410e-02 4.129570e-02 3.646676e-02 5.816958e-02
[26] 5.721896e-02 3.574998e-02 2.949092e-02 3.315340e-02 2.192100e-02
[31] 2.152074e-02 2.480274e-02 2.126354e-02 1.506010e-02 1.758326e-02
[36] 1.911937e-02 1.286397e-02 4.733646e-03 7.660728e-03 9.843922e-03
[41] 7.795567e-03 7.732195e-03 4.132372e-03 3.701595e-03 2.787673e-03
[46] 1.765938e-03 3.437474e-03 4.087404e-03 1.866614e-03 1.893810e-03
[51] 3.657387e-03 1.093983e-03 1.170868e-03 6.673076e-04 1.236717e-03
[56] 7.840004e-04 8.520031e-04 1.023818e-03 4.859900e-04 3.138012e-04
[61] 4.774006e-04 2.595676e-04 3.063056e-04 2.338585e-04 3.272228e-04
[66] 1.807986e-04 1.168420e-04 1.767479e-04 1.601260e-04 2.320232e-04
[71] 1.139706e-04 8.909303e-05 1.217588e-04 6.007539e-05 5.693195e-05
[76] 3.895866e-05 6.051746e-05 3.768976e-05 3.282583e-05 2.823740e-05
[81] 2.785213e-05 3.894528e-05 2.342345e-05 1.904851e-05 3.064542e-05
[86] 9.307589e-06 8.059127e-06 1.225182e-05 1.210536e-05 8.201753e-06
[91] 1.143645e-05 1.044300e-05 5.344302e-06 2.400502e-06 4.007635e-06
[96] 2.288425e-06 3.434242e-06 2.121975e-06 1.956015e-06 3.340614e-06
$y
[1,] 1 1 1 1 -1 0 1 0 -1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1
[2,] -1 1 0 0 -1 0 -1 0 -1 -1 0 0 0 0 0 0 0 0 0 1 0 1 -1 1 0 0 0
[3,] 0 -1 1 1 -1 0 -1 0 -1 0 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
[4,] 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 -1 1 1 0 1 0 0 0
[5,] 0 -1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 -1 0 -1 1 1 0 0 0 1
[6,] 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 -1 -1 0 1 1 -1 0 0 -1
[7,] 1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 1 0 0 -1 0 -1 -1 1 0 0 0 0
[8,] -1 -1 0 1 1 0 -1 0 -1 1 0 0 0 0 0 0 1 0 0 -1 1 -1 0 1 0 0 0
[9,] 0 1 1 0 1 0 0 -1 0 0 1 0 0 0 -1 0 0 1 1 -1 -1 1 1 0 1 0 0
[10,] 0 0 1 -1 -1 0 -1 -1 1 0 0 0 0 0 -1 0 0 -1 0 -1 -1 0 -1 0 0 1 0
[1,] 0 -1 0 0 1 0 0 0 0 -1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0
[2,] 1 0 -1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0
[3,] -1 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 0 0 1 -1 0 1 -1 0 0 1 0 -1 1
[4,] -1 1 0 0 0 0 1 0 0 0 -1 -1 0 0 0 1 1 0 -1 0 0 1 0 0 -1 1 -1 0
[5,] 0 0 -1 1 0 0 0 0 0 0 1 0 0 0 0 -1 1 -1 0 0 0 -1 1 0 -1 0 -1 0
[6,] 0 0 -1 0 0 0 -1 1 0 0 -1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0
[7,] 1 0 1 0 0 1 0 1 0 0 -1 0 1 0 0 -1 0 0 1 0 1 0 0 0 0 1 0 0
[8,] 0 0 0 1 0 0 -1 0 1 0 -1 0 0 0 0 -1 -1 0 -1 0 0 1 0 0 1 -1 0 0
[9,] 0 0 0 0 0 0 1 0 0 0 -1 -1 0 0 0 -1 0 1 1 0 0 0 0 -1 1 0 -1 0
[10,] 0 0 0 1 0 0 -1 0 0 1 1 0 0 1 0 0 1 1 -1 0 0 -1 0 0 1 1 1 0
[1,] 0 1 0 -1 1 1 0 1 0 0 -1 1 0 -1 0 1 -1 0 -1 1 0 1 0 0 1
[2,] -1 1 0 -1 1 1 1 -1 1 0 0 -1 0 0 0 0 1 0 1 0 0 1 1 0 -1
[3,] 0 0 0 0 0 0 -1 0 1 0 0 -1 0 0 0 1 0 1 0 -1 -1 0 0 1 1
[4,] 1 1 0 1 -1 1 1 0 0 -1 0 -1 0 0 0 1 0 -1 1 0 0 0 1 -1 0
[5,] -1 0 0 0 1 -1 1 1 -1 1 -1 -1 1 0 -1 0 0 0 1 0 1 0 0 1 1
[6,] 1 1 0 0 0 -1 -1 1 1 0 1 1 1 0 0 0 -1 0 0 -1 1 0 0 1 0
[7,] 1 0 0 -1 0 0 -1 0 -1 0 0 1 0 1 0 1 1 0 1 0 0 0 -1 1 -1
[8,] 1 0 0 1 1 1 -1 0 -1 0 1 -1 0 -1 0 -1 0 0 1 0 -1 1 0 0 1
[9,] -1 1 1 0 1 0 0 1 0 1 0 -1 -1 0 1 0 -1 0 0 1 0 -1 1 1 -1
[10,] 0 -1 0 1 0 0 1 1 0 0 1 0 -1 0 -1 0 1 0 0 1 1 0 0 -1 1
[1,] 0 0 1 1 0 1 1 0 0 0 1 0 0 -1 1 -1 1 -1 0 0
[2,] 0 0 0 0 0 -1 1 0 0 1 0 1 0 1 0 1 0 0 0 0
[3,] 0 0 1 0 -1 -1 -1 1 0 1 0 0 1 -1 1 1 0 1 0 0
[4,] 0 0 1 1 -1 0 -1 0 0 0 0 0 1 1 0 -1 0 1 -1 0
[5,] -1 0 -1 1 0 1 0 0 1 0 0 0 1 0 -1 1 -1 -1 1 0
[6,] 1 0 0 1 -1 -1 0 -1 1 -1 0 0 0 0 0 0 1 0 -1 0
[7,] 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 -1 -1 0 0
[8,] 0 0 1 0 1 0 1 -1 0 1 0 0 -1 1 1 0 0 0 0 1
[9,] 0 0 1 1 0 -1 0 -1 -1 0 0 0 1 1 1 1 0 1 1 0
[10,] 0 0 1 0 1 0 -1 -1 1 0 0 0 1 1 0 -1 1 0 1 0
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