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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:alsoKnownAs
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gptkb:Jordan_canonical_form
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gptkbp:appliesTo
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square matrices
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gptkbp:block
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gptkb:Jordan_block
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gptkbp:category
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matrix decomposition
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gptkbp:difficulty
|
numerically unstable
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gptkbp:eachBlockCorrespondsTo
|
eigenvalue
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gptkbp:eachBlockSize
|
algebraic multiplicity of eigenvalue
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gptkbp:existsOver
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algebraically closed fields
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gptkbp:field
|
linear algebra
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gptkbp:firstPublished
|
1870
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gptkbp:generalizes
|
diagonalization
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|
https://www.w3.org/2000/01/rdf-schema#label
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Jordan normal form
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gptkbp:matrixRepresentation
|
complex matrices
real matrices (with modifications)
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gptkbp:namedAfter
|
gptkb:Camille_Jordan
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gptkbp:notAlwaysDiagonalizable
|
true
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gptkbp:relatedTo
|
minimal polynomial
characteristic polynomial
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gptkbp:structure
|
block diagonal matrix
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gptkbp:supportsAlgorithm
|
exists for computation
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gptkbp:uniqueness
|
unique up to block order
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gptkbp:usedFor
|
matrix similarity classification
simplifying linear operators
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gptkbp:usedIn
|
control theory
partial differential equations
representation theory
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gptkbp:bfsParent
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gptkb:Camille_Jordan
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gptkbp:bfsLayer
|
5
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