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Standard bi-quadratic optimization problems and unconstrained polynomial reformulations

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math.SP 1

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2025 1

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CONDITIONAL 1

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Biquadratic Tensors: Eigenvalues and Structured Tensors

math.SP · 2025-02-10 · conditional · novelty 5.0

Nonsymmetric biquadratic tensors are positive semidefinite exactly when all their M-eigenvalues are nonnegative, with new eigenvalue bounds and an optimization-based solver.

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  • Biquadratic Tensors: Eigenvalues and Structured Tensors math.SP · 2025-02-10 · conditional · none · ref 2

    Nonsymmetric biquadratic tensors are positive semidefinite exactly when all their M-eigenvalues are nonnegative, with new eigenvalue bounds and an optimization-based solver.