Abdelrahman Said
160 lines
2.2 KiB
Plaintext
160 lines
2.2 KiB
Plaintext
== Identity matrix ==
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== Diagonal matrix ==
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== A tree, plus a ring ==
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Regular:
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Eigenvalues:
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( 3.79369 )
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Eigenvectors:
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[ 0.272513
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0.387127
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0.421856
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0.429479
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0.344793
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0.266584
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0.24469
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0.239837
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0.235697
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0.224848 ]
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Shift and invert, LU:
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Eigenvalues:
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( 3.79369 )
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Eigenvectors:
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[ 0.272513
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0.387127
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0.421856
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0.429479
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0.344793
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0.266584
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0.24469
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0.239837
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0.235697
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0.224848 ]
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Shift and invert, QR:
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Eigenvalues:
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( 3.79369 )
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Eigenvectors:
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[ 0.272513
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0.387127
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0.421856
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0.429479
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0.344793
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0.266584
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0.24469
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0.239837
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0.235697
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0.224848 ]
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== A directed tree and a directed, mutual ring ==
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Regular:
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Eigenvalues:
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[ 2.61264 0 ]
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Eigenvectors:
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[ 0.467245
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0.571573
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0.427081
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0.335532
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0.263456
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0.130696
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0.0780048
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0.0731022
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0.112985
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0.222086 ]
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== A small test graph ==
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Regular:
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Eigenvalues:
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[ 1.35971 0 ]
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Eigenvectors:
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[ 0.352334
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0.479071
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0.190574
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0.525509
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0.140158
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0.10308
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0.455414
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0.0680917
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0.125888
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0.0925848
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0.259125 ]
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== Testing the special case solver for 1x1 matrices ==
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rnsolve:
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- eigenvalues:
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[ 2 0 ]
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- eigenvectors:
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[ 1 ]
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rssolve:
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- eigenvalues:
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( 2 )
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- eigenvectors:
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[ 1 ]
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rnsolve:
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- eigenvalues:
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[ 0 0 ]
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- eigenvectors:
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[ 1 ]
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rssolve:
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- eigenvalues:
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( 0 )
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- eigenvectors:
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[ 1 ]
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rnsolve:
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- eigenvalues:
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[ -3 0 ]
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- eigenvectors:
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[ 1 ]
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rssolve:
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- eigenvalues:
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( -3 )
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- eigenvectors:
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[ 1 ]
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== Testing the special case solver for 2x2 matrices ==
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rnsolve:
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- eigenvalues:
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[ 5 0
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0 0 ]
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- eigenvectors:
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[ 1 -4
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2 2 ]
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rssolve:
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- eigenvalues:
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( 5 0 )
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- eigenvectors:
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[ 1 -4
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2 2 ]
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rnsolve:
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- eigenvalues:
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[ 5.37228 0
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-0.372281 0 ]
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- eigenvectors:
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[ 1.37228 -4.37228
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3 3 ]
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rnsolve:
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- eigenvalues:
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[ 2.5 6.91014
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2.5 -6.91014 ]
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- eigenvectors:
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[ -1.5 6.91014
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10 0 ]
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rnsolve:
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- eigenvalues:
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[ 0 0
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0 0 ]
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- eigenvectors:
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[ 1 0
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0 1 ]
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rssolve:
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- eigenvalues:
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( 0 0 )
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- eigenvectors:
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[ 1 0
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0 1 ]
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