trureturingGitHub MATHEMATICAL ATLAS

Constants / CONCEPT

Coefficient-Driven Jacobi Characteristic Polynomial

Strict coefficient Hankel data and self-adjoint companion multiplication produce a monic orthogonal basis whose positive Jacobi recurrence has charpoly q.

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THEOREM

Coefficient data produce a positive Jacobi recurrence with charpoly q

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Coefficient-Driven Jacobi Characteristic PolynomialCoefficient-Driven JacobiCharacteristic PolynomialThe Steiner characteristic polynomial peaks beyond n minus oneThe Steiner characteristicpolynomial peaks beyond n minusoneCoefficient Multiplication Trace MomentsCoefficient MultiplicationTrace MomentsGram--Schmidt Coordinates in the Coefficient FieldGram--Schmidt Coordinates inthe Coefficient Field
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Constants
Node ID
D5/S3/Constants/Moments/CoefficientDrivenJacobiCharacteristicPolynomial
Repository path
D5/S3/Constants/Moments/CoefficientDrivenJacobiCharacteristicPolynomial.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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