On domains of noncommutative rational functions

[1]  Igor Klep,et al.  Regular and positive noncommutative rational functions , 2016, J. Lond. Math. Soc..

[2]  I. Klep,et al.  Free loci of matrix pencils and domains of noncommutative rational functions , 2015, 1512.02648.

[3]  J. William Helton,et al.  Applications of Realizations (aka Linearizations) to Free Probability , 2015, 1511.05330.

[4]  J. Volčič,et al.  Matrix coefficient realization theory of noncommutative rational functions. , 2015, 1505.07472.

[5]  John E. McCarthy,et al.  Global Holomorphic Functions in Several Noncommuting Variables , 2015, Canadian Journal of Mathematics.

[6]  Dmitry S. Kaliuzhnyi-Verbovetskyi,et al.  Foundations of Free Noncommutative Function Theory , 2012, 1212.6345.

[7]  Rekha R. Thomas,et al.  Semidefinite Optimization and Convex Algebraic Geometry , 2012 .

[8]  P. Muhly,et al.  Tensorial Function Theory: From Berezin Transforms to Taylor’s Taylor Series and Back , 2012, 1210.2964.

[9]  I. Dolgachev,et al.  Classical Algebraic Geometry: A Modern View , 2012 .

[10]  J. Helton,et al.  Free convex sets defined by rational expressions have LMI representations , 2012, 1209.3412.

[11]  Dmitry S. Kaliuzhnyi-Verbovetskyi,et al.  Noncommutative rational functions, their difference-differential calculus and realizations , 2010, Multidimens. Syst. Signal Process..

[12]  C. Reutenauer,et al.  Noncommutative Rational Series with Applications , 2010 .

[13]  J. A. Ball,et al.  Robust control, multidimensional systems and multivariable Nevanlinna-Pick interpolation , 2009, 0906.3363.

[14]  J. William Helton,et al.  Convex Matrix Inequalities Versus Linear Matrix Inequalities , 2009, IEEE Transactions on Automatic Control.

[15]  Dmitry S. Kaliuzhnyi-Verbovetskyi,et al.  Singularities of rational functions and minimal factorizations: The noncommutative and the commutative setting , 2009 .

[16]  J. William Helton,et al.  Engineering Systems and Free Semi-Algebraic Geometry , 2009 .

[17]  Joseph A. Ball,et al.  Conservative dilations of dissipative multidimensional systems: The commutative and non-commutative settings , 2008, Multidimens. Syst. Signal Process..

[18]  J. Helton,et al.  NONCOMMUTATIVE CONVEXITY ARISES FROM LINEAR MATRIX INEQUALITIES. , 2006 .

[19]  Joseph A. Ball,et al.  Structured Noncommutative Multidimensional Linear Systems , 2005, SIAM J. Control. Optim..

[20]  A. Lichtman On Universal Fields of Fractions for Free Algebras , 2000 .

[21]  R. Saigal,et al.  Handbook of semidefinite programming : theory, algorithms, and applications , 2000 .

[22]  Henry Wolkowicz,et al.  Handbook of Semidefinite Programming , 2000 .

[23]  Paul M. Cohn,et al.  Skew Fields: Theory of General Division Rings , 1995 .

[24]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[25]  Jacques Lewin,et al.  Fields of fractions for group algebras of free groups , 1974 .

[26]  S. A. Amitsur Rational identities and applications to algebra and geometry , 1966 .