Cover Image

Postive Semidefinite and Sum of Squares Biquadratic Polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cui, Chunfeng, Qi, Liqun, Xu, Yi
Format:	Preprint
Published:	2025
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sum of Squares Decompositions for Structured Biquadratic Forms
by: Xu, Yi, et al.
Published: (2025)

Sum of Squares Rank of Biquadratic Forms and The Zarankiewicz Number
by: Cui, Chunfeng, et al.
Published: (2026)

Sum of Squares Decompositions and Rank Bounds for Biquadratic Forms
by: Qi, Liqun, et al.
Published: (2026)

Biquadratic SOS Rank and Augmented Zarankiewicz Number
by: Qi, Liqun, et al.
Published: (2026)

Narrowing the Gap: SOS Ranks of $4 \times 3$ Biquadratic Forms and a Lower Bound of $8$
by: Xu, Yi, et al.
Published: (2026)

Biquadratic Cauchy Tensors and Spherical Biquadratic Polynomial Programming
by: Chen, Haibin, et al.
Published: (2026)

On the SOS Rank of Simple and Diagonal Biquadratic Forms
by: Xu, Yi, et al.
Published: (2026)

Structured Symmetric Tensors
by: Qi, Liqun, et al.
Published: (2025)

A Dual Quaternion Control Law for Formation Control of Multiple 3-D Rigid Bodies
by: Cui, Chunfeng, et al.
Published: (2025)

Parallelizable Riemannian Alternating Direction Method of Multipliers for Non-convex Pose Graph Optimization
by: Chen, Xin, et al.
Published: (2026)

S-SOS: Stochastic Sum-Of-Squares for Parametric Polynomial Optimization
by: Zhu, Richard L., et al.
Published: (2024)

Non-convex Pose Graph Optimization in SLAM via Proximal Linearized Riemannian ADMM
by: Chen, Xin, et al.
Published: (2024)

On Polynomial Stochastic Barrier Functions: Bernstein Versus Sum-of-Squares
by: Amorese, Peter, et al.
Published: (2025)

On Squared-Variable Formulations for Nonlinear Semidefinite programming
by: Ding, Lijun, et al.
Published: (2025)

Sum-of-Squares Certificates for Almost-Sure Reachability of Stochastic Polynomial Systems
by: Kordabad, Arash Bahari, et al.
Published: (2025)

Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming
by: Shakhesi, Erfan, et al.
Published: (2025)

The SOS Rank of Biquadratic Forms
by: Qi, Liqun, et al.
Published: (2025)

Nonnegative Biquadratic Tensors
by: Cui, Chunfeng, et al.
Published: (2025)

Quasi-Irreducibility of Nonnegative Biquadratic Tensors
by: Qi, Liqun, et al.
Published: (2025)

Polyconvexity with Moments and Sums of Squares
by: Fantuzzi, Giovanni, et al.
Published: (2026)

Biquadratic Tensors: Eigenvalues and Structured Tensors
by: Qi, Liqun, et al.
Published: (2025)

Factorization-free Orthogonal Projection onto the Positive Semidefinite Cone with Composite Polynomial Filtering
by: Kang, Shucheng, et al.
Published: (2025)

Sum-of-Squares Hierarchy for the Gromov Wasserstein Problem
by: Tran, Hoang Anh, et al.
Published: (2025)

A Semidefinite Relaxation for Sums of Heterogeneous Quadratic Forms on the Stiefel Manifold
by: Gilman, Kyle, et al.
Published: (2022)

iFCTN: an intra-block Fully-Connected Tensor Network Decomposition for Tensor Completion
by: Gan, Ziyi, et al.
Published: (2025)

Direct Data-Driven Discrete-time Bilinear Biquadratic Regulator
by: Clarke, Shanelle G., et al.
Published: (2022)

An Overview of Convergence Rates for Sum of Squares Hierarchies in Polynomial Optimization
by: Laurent, Monique, et al.
Published: (2024)

Completely Positive Biquadratic Tensors
by: Qi, Liqun, et al.
Published: (2025)

Heuristic Bundle Upper Bound Based Polyhedral Bundle Method for Semidefinite Programming
by: Cui, Zilong, et al.
Published: (2025)

On the Degree Automatability of Sum-of-Squares Proofs
by: Bortolotti, Alex, et al.
Published: (2025)

Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming
by: Wang, Han, et al.
Published: (2022)

Sum-Of-Squares To Approximate Knapsack
by: Kothari, Pravesh K., et al.
Published: (2025)

Sum of Squares Submodularity
by: Deza, Anna, et al.
Published: (2025)

Three-Edges and the SOS Rank of Biquadratic Forms: Extending the Augmented Zarankiewicz Framework
by: Qi, Liqun, et al.
Published: (2026)

Sum-of-Squares Stability Verification on Manifolds with Applications in Spacecraft Attitude Control
by: Geyer, Fabian, et al.
Published: (2026)

An Overview and Comparison of Spectral Bundle Methods for Primal and Dual Semidefinite Programs
by: Liao, Feng-Yi, et al.
Published: (2023)

Bounding the Settling Time of Finite-Time Stable Systems using Sum of Squares
by: Kisole, Sengiyumva, et al.
Published: (2025)

Convex computation of regions of attraction from data using Sums-of-Squares programming
by: Khattabi, Oumayma, et al.
Published: (2025)

Multi-step Inertial Accelerated Doubly Stochastic Gradient Methods for Block Term Tensor Decomposition
by: Liu, Zehui, et al.
Published: (2025)

Moment Sum-of-Squares Hierarchy for Gromov Wasserstein: Continuous Extensions and Sample Complexity
by: Tran, Hoang Anh, et al.
Published: (2025)