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Matrix completions, moments, and sums of hermitian squares

1, 2011

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Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and Its Applications 2022, Kraków, Poland

1, 2024

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Advanced Linear Algebra

Woerdeman, Hugo

1st, 2015

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Operator Theory, Analysis and the State Space Approach: In Honor of Rien Kaashoek

1st ed. 2018., 2018

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Spectral factorizations and sums of squares representations via semidefinite programming

SIAM journal on matrix analysis and applications, 2002, Vol.23 (3), p.646-655

2002

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Advances in Structured Operator Theory and Related Areas: The Leonid Lerer Anniversary Volume

2013, 2013

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Two-variable polynomials: intersecting zeros and stability

IEEE transactions on circuits and systems. 1, Fundamental theory and applications, 2006-05, Vol.53 (5), p.1130-1139

2006

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Unicity of minimal rank completions for tri-diagonal partial block matrices

Linear algebra and its applications, 2001-03, Vol.325 (1), p.23-55

2001

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Positive Extensions, Fejér-Riesz Factorization and Autoregressive Filters in Two Variables

Annals of mathematics, 2004-11, Vol.160 (3), p.839-906

2004

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Unique minimal rank extensions of triangular operators

Journal of mathematical analysis and applications, 1988-05, Vol.131 (2), p.501-516

1988

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Rank Reducing Matrix Norms

Linear & multilinear algebra, 2002-01, Vol.50 (2), p.185-197

2002

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Minimal rank completions for block matrices

Linear algebra and its applications, 1989-08, Vol.121, p.105-122

Woerdeman, H.J.

1989

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Toeplitz minimal rank completions

Linear algebra and its applications, 1994-04, Vol.202, p.267-278

Woerdeman, Hugo J.

1994

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Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band

The Journal of fourier analysis and applications, 1999-01, Vol.5 (1), p.21-44

1999

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Outer factorizations in one and several variables

Transactions of the American Mathematical Society, 2005-11, Vol.357 (11), p.4661-4679

2005

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Strictly contractive and positive completions for block matrices

Linear algebra and its applications, 1990-07, Vol.136, p.63-105

Woerdeman, H.J.

1990

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The lower order of lower triangular operators and minimal rank extensions

Integral equations and operator theory, 1987-11, Vol.10 (6), p.859-879

Woerdeman, H. J.

1987

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The separability problem and normal completions

Linear algebra and its applications, 2004, Vol.376, p.85-95

Woerdeman, Hugo J.

2004

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The Carathéodory-Toeplitz Problem for Almost Periodic Functions

Journal of functional analysis, 1993-08, Vol.115 (2), p.281-293

1993

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Norm Bounds for Operator Extensions

Journal of mathematical analysis and applications, 1995-09, Vol.194 (2), p.352-367

1995

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Non-minimal factorization of nonlinear systems: the observable case

International journal of control, 1996-04, Vol.63 (6), p.1069-1104

1996

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The band method for positive and strictly contractive extension problems: An alternative version and new applications

Integral equations and operator theory, 1989-05, Vol.12 (3), p.343-382

1989

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Approximating sums of squares with a single square

Linear algebra and its applications, 2005-04, Vol.399, p.187-201

2005

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Partial matrix contractions and intersections of matrix balls

Linear algebra and its applications, 1992-10, Vol.175, p.225-238

1992

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Resultant operators and the Bezout equation for analytic matrix functions, II

Journal of mathematical analysis and applications, 1987-08, Vol.125 (2), p.553-567

1987

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Matrix completions, moments, and sums of hermitian squares

Operator and Matrix Theory, Function Spaces, and Applications: International Workshop on Operator Theory and Its Applications 2022, Kraków, Poland

Advanced Linear Algebra

Operator Theory, Analysis and the State Space Approach: In Honor of Rien Kaashoek

Spectral factorizations and sums of squares representations via semidefinite programming

Advances in Structured Operator Theory and Related Areas: The Leonid Lerer Anniversary Volume

Two-variable polynomials: intersecting zeros and stability

Unicity of minimal rank completions for tri-diagonal partial block matrices

Positive Extensions, Fejér-Riesz Factorization and Autoregressive Filters in Two Variables

Unique minimal rank extensions of triangular operators

Rank Reducing Matrix Norms

Minimal rank completions for block matrices

Toeplitz minimal rank completions

Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band

Outer factorizations in one and several variables

Strictly contractive and positive completions for block matrices

The lower order of lower triangular operators and minimal rank extensions

The separability problem and normal completions

The Carathéodory-Toeplitz Problem for Almost Periodic Functions

Norm Bounds for Operator Extensions

Non-minimal factorization of nonlinear systems: the observable case

The band method for positive and strictly contractive extension problems: An alternative version and new applications

Approximating sums of squares with a single square

Partial matrix contractions and intersections of matrix balls

Resultant operators and the Bezout equation for analytic matrix functions, II

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