Flat extensions of positive moment matrices: recursively generated relations
From MaRDI portal
Publication:4220943
DOI10.1090/memo/0648zbMath0913.47016OpenAlexW2036821518MaRDI QIDQ4220943
Raúl E. Curto, Lawrence A. Fialkow
Publication date: 21 December 1998
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0648
interpolational cubature formulasminimal point cubaturestruncated moment problem in several variables
Hermitian, skew-Hermitian, and related matrices (15B57) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Numerical quadrature and cubature formulas (65D32) Software, source code, etc. for problems pertaining to linear algebra (15-04) Applications of operator theory in numerical analysis (47N40)
Related Items (65)
A duality proof of Tchakaloff's theorem ⋮ On the construction of general cubature formula by flat extensions ⋮ Noncommutative Christoffel-Darboux kernels ⋮ Concrete solution to the nonsingular quartic binary moment problem ⋮ Unnamed Item ⋮ On a solution of the multidimensional truncated matrix-valued moment problem ⋮ The truncated moment problem on the union of parallel lines ⋮ Certifying the global optimality of quartic minimization over the sphere ⋮ Generating polynomials and symmetric tensor decompositions ⋮ Unnamed Item ⋮ Sextic moment problems with a reducible cubic column relation ⋮ On a minimal solution for the indefinite multidimensional truncated moment problem ⋮ The division algorithm in sextic truncated moment problems ⋮ The multidimensional truncated moment problem: the moment cone ⋮ A semidefinite approach for truncated \(K\)-moment problems ⋮ The operator approach to the truncated multidimensional moment problem ⋮ The strong truncated Hamburger moment problem with and without gaps ⋮ Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem ⋮ The existence of Gaussian cubature formulas ⋮ Finite-dimensional completion for the matrix-valued truncated complex moment problem ⋮ On the truncated two-dimensional moment problem ⋮ The convex Positivstellensatz in a free algebra ⋮ Embry truncated complex moment problem. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The multidimensional truncated moment problem: Gaussian and log-normal mixtures, their Carathéodory numbers, and set of atoms ⋮ On global optimizations with polynomials ⋮ Cubic column relations in truncated moment problems ⋮ Dimensional stability in truncated moment problems ⋮ The cubic complex moment problem ⋮ Solution of the truncated moment problem with variety 𝑦=𝑥³ ⋮ Idempotents and moment problem for discrete measure ⋮ Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions ⋮ Lebesgue decomposition in action via semidefinite relaxations ⋮ The core variety of a multisequence in the truncated moment problem ⋮ Recursiveness approach to multi-dimensional moment problems ⋮ The singular bivariate quartic tracial moment problem ⋮ An idempotent approach to truncated moment problems ⋮ The tracial moment problem on quadratic varieties ⋮ An analogue of the Riesz-Haviland theorem for the truncated moment problem ⋮ A new approach to the nonsingular cubic binary moment problem ⋮ Hamburger and Stieltjes moment problems in several variables ⋮ Solving the general truncated moment problem by the \(r\)-generalized Fibonacci sequences method ⋮ Moment problems in hereditary function spaces ⋮ Positive univariate trace polynomials ⋮ MOMENT APPROACH TO THE TARGET CONTROL PROBLEM FOR LINEAR SYSTEM ⋮ Matrix valued interpolation and truncated Hamburger moment problems ⋮ The truncated Hamburger moment problems with gaps in the index set ⋮ Complex orthogonal polynomials and numerical quadrature via hyponormality ⋮ The multidimensional truncated moment problem: Carathéodory numbers from Hilbert functions ⋮ Noncommutative polynomials nonnegative on a variety intersect a convex set ⋮ The truncated complex $K$-moment problem ⋮ Constrained trace-optimization of polynomials in freely noncommuting variables ⋮ Linear optimization with cones of moments and nonnegative polynomials ⋮ The quintic complex moment problem ⋮ Unnamed Item ⋮ Optimization over trace polynomials ⋮ A generalized flat extension theorem for moment matrices ⋮ Limits of positive flat bivariate moment matrices ⋮ The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$ ⋮ A moment closure based on a projection on the boundary of the realizability domain: extension and analysis ⋮ The quadratic moment problem for the unit circle and unit disk ⋮ Non-extremal sextic moment problems ⋮ A convex optimization approach to synthesizing state feedback data-driven controllers for switched linear systems
This page was built for publication: Flat extensions of positive moment matrices: recursively generated relations
