Quantum / CONCEPT
Continuity and balanced scalar optimization
Continuity and balanced scalar optimization.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS0
Continuity of a matrix norm
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
- Balanced inverse-adjoint averages are expandingstructural-affinity · Closed
- Expanding square matrices and their singular valuesstructural-affinity · Closed
- MajorizationTransferstructural-affinity · Closed
- Norm products from an expanding-factor lower boundstructural-affinity · Closed
- Opposite matching minimizes expanding diagonal productsstructural-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
- The trace norm and its two-dimensional formulastructural-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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