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PROBLEMS ORDERED ACCORDING TO METHODOLOGY REQUIRED TO SOLVE

• Gröbner basis only
• NCGB Does Singular Perturbation Well
• The most basic control problem (Demo on ) April 1999
• Singular Perturbation for the infostate equation (An article) April 1999
Helton and Kronewitter
• Sum of Idempotents Jun 96
• 1-strategies
• 2 x 2 Invertible Matrix Completion Problem Jun 96
• 3 x 3 Invertible Matrix Completion Problem; 31,000 New Theorems April 1999
• Parrot matrix completion problem - the equality case Jun 96
• Minimal factorization Jun 96
• Balanced truncation (parts a and b) Jun 96
• Orbits of U(n,n) acting on Mn Jun 96
• 2-strategies
• Derivation of the X and Y Ricatti equations (requires decompose) Jun 96
• Open
• Balanced truncation (part c) Jun 96
• H. Bart and J. Kaashoek problem