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Improving Eigenvectors({{1,0,0}, {-2,1,0}, {0,1,1}}) #979

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tranleduy2000 opened this issue May 1, 2024 · 1 comment
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Improving Eigenvectors({{1,0,0}, {-2,1,0}, {0,1,1}}) #979

tranleduy2000 opened this issue May 1, 2024 · 1 comment
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enhancement hipparchus

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@tranleduy2000
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tranleduy2000 commented May 1, 2024 •
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Here is the input:

Eigenvectors({{1,0,0},
{-2,1,0},
{0,1,1}})

The current implement shows the following errror:

image

The Det of the input matrix is 1

Det[  {{1,0,0}, {-2,1,0}, {0,1,1}}  ] = 1

Expected result:

{{0,0,1},{0,0,0},{0,0,0}}
@tranleduy2000 tranleduy2000 changed the title Improved Eigenvectors({{1,0,0}, {-2,1,0}, {0,1,1}}) Improving Eigenvectors({{1,0,0}, {-2,1,0}, {0,1,1}}) May 1, 2024
@axkr
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axkr commented May 1, 2024 •
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Hipparchus is checking sub-matrices for singularity, not the matrix itself:
image

@axkr axkr added the hipparchus label May 1, 2024
@axkr axkr mentioned this issue May 2, 2024
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axkr added a commit that referenced this issue May 27, 2024
@axkr
WIP #979 workaround for singular value exception
3231855 
- Hipparchus-Math/hipparchus#337
- lower the epsilon criteria for final AV=VD check in Eigen
decompositions
  Config.DEFAULT_EPSILON_AV_VD_CHECK = 1.0e-4
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