Quantum / CONCEPT
Stable synchronous iteration can become unstable with unit remote delays
A real matrix of spectral radius one half has a unit-delay asynchronous iteration of spectral radius at least five quarters.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Both bounds fail for two scalar blocks
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A counterexample to the Han–Wang–Yu spectral hull conjecturestructural-affinity · Closed
- Complete multipartite graphsstructural-affinity · Closed
- Hermitian pencil crossingstructural-affinity · Closed
- Multipartite CHS recurrencestructural-affinity · Closed
- Multipartite coefficient extremastructural-affinity · Closed
- Non-backtracking Laplacian gapstructural-affinity · Closed
- Spectral coefficients from part sizesstructural-affinity · Closed
- The first bound of Miska–Ulas Conjecture 4.8 is falsestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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