Leseprobe
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Matrix Completions, Moments, and Sums of Hermitian Squares
Mihály Bakonyi, Hugo J. Woerdeman
* Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for graduate or advanced undergraduate students in mathematics or engineering, and will also be a valuable resource for researchers.
Often driven by questions from signal processing, control theory, and quantum information, the subject of this book has inspired mathematicians from many subdisciplines, including linear algebra, operator theory, measure theory, and complex function theory. In turn, the applications are being pursued by researchers in areas such as electrical engineering, computer science, and physics.
The book is self-contained, has many examples, and for the most part requires only a basic background in undergraduate mathematics, primarily linear algebra and some complex analysis. The book also includes an extensive discussion of the literature, with close to 600 references from books and journals from a wide variety of disciplines.
Kundenbewertungen
Trigonometric polynomial, Mathematical induction, Equation, Permutation, Printing, Linear map, Matrix completion, Polynomial, Schur complement, Upper and lower bounds, Multiplication operator, Characterization (mathematics), Existential quantification, Bochner's theorem, Singular value, Eigenvalues and eigenvectors, Result, Theorem, Hankel matrix, Free group, Coefficient, Riccati equation, Block matrix, Analytic function, Compact space, Projection (linear algebra), Special case, Determinant, Subsequence, Lexicographical order, Positive-definite matrix, Transpose, Mathematics, Chordal graph, Stochastic, Complex number, Hilbert space, Character group, Moment problem, Big O notation, Unitary operator, Infimum and supremum, Unit circle, Measurable function, Commutative property, Lebesgue measure, Parametrization, Trigonometric moment problem, Stable polynomial, Hamburger moment problem, Factorization, Scientific notation, Applied mathematics, Without loss of generality, Subset, Unit vector, Christoffel–Darboux formula, Distance matrix, Variable (mathematics), Dimension (vector space), Algorithm, Hermitian matrix, Shift operator, Triangular matrix, Addition, Dynamical system, Positive semidefinite, Corollary, Summation, Toeplitz matrix