Weil / CONCEPT
Pole Capacity Rank One
A positive rank-one pole update removes at most one negative direction.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS0
A pole pair has negative-index capacity one
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Finite Localized Stieltjes Kernel Factorizationstructural-affinity · Closed
- Finite Spectral Localizerstructural-affinity · Closed
- Full-Rank Inertia Pullbackstructural-affinity · Closed
- Hermitian Kernel Negative Squaresstructural-affinity · Closed
- Invertible Hermitian Inertia Pullbackstructural-affinity · Closed
- Localized Stieltjes and Nevanlinna Kernelsstructural-affinity · Closed
- LocallyPositiveSpectrumstructural-affinity · Closed
- Mass-Support Kernel Pencilstructural-affinity · Closed
- Point-Gap Exact Inertiastructural-affinity · Closed
- Weil: Inertiastructural-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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