Quantum / CONCEPT
Opposite matching minimizes expanding diagonal products
Opposite matching minimizes expanding diagonal products.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS0
Subset products control a diagonal gauge
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Continuity and balanced scalar optimizationtruth-dependency · Closed
- Expanding square matrices and their singular valuestruth-dependency · Closed
- PowerMajorizationtruth-dependency · Closed
- Singular values of nonnegative diagonal matricestruth-dependency · Closed
- The lower Gelfand–Naimark ratio inequalitytruth-dependency · Closed
- Unitarily invariant norms and symmetric diagonal gaugestruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Balanced inverse-adjoint averages are expandingstructural-affinity · Closed
- Continuity and balanced scalar optimizationstructural-affinity · Closed
- Expanding square matrices and their singular valuesstructural-affinity · Closed
- Norm products from an expanding-factor lower boundstructural-affinity · Closed
- PowerMajorizationstructural-affinity · Closed
- Rank-one Hadamard products and nonnegative diagonal weightsstructural-affinity · Closed
- Singular values of nonnegative diagonal matricesstructural-affinity · Closed
- The lower Gelfand–Naimark ratio inequalitystructural-affinity · Closed
- Unitarily invariant norms and symmetric diagonal gaugesstructural-affinity · Closed
- Zhang–Li Problem 3 for matrices of rank at most onestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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