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 CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
Zero log-det divergence characterizes equality on invertible positive semidefinite matrices
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Catalan Difference Moment Ratiosstructural-affinity · Closed
- Congruence Geometry of the Log-Determinant Divergencestructural-affinity · Closed
- Discrete Logarithmic Selectorstructural-affinity · Closed
- Hadamard Bound for Integer Matricesstructural-affinity · Closed
- Integer Fischer Selectorstructural-affinity · Closed
- Nonnegativity of the Log-Determinant Divergencestructural-affinity · Closed
- Path and Spectral Forms of the Log-Determinant Divergencestructural-affinity · Closed
- Pythagorean Projection Certificates for Log-Det Divergencestructural-affinity · Closed
- Squared-Catalan Hankel Growthstructural-affinity · Closed
- Squared-Catalan Hankel Limitsstructural-affinity · Closed
- The Log-Determinant Divergencestructural-affinity · Closed
Documents & exposition
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