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Resource / CONCEPT

Equality in the Log-Determinant Divergence

The log-determinant divergence vanishes exactly when its two invertible positive semidefinite matrix arguments coincide.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Zero log-det divergence characterizes equality on invertible positive semidefinite matrices

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Nonnegativity of the Log-Determinant DivergenceNonnegativity of the Log-Determinant DivergenceEquality in the Log-Determinant DivergenceEquality in the Log-DeterminantDivergence
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Resource
Node ID
D5/S3/Resource/LogDetDivergenceEquality
Repository path
D5/S3/Resource/LogDetDivergenceEquality.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.