WebThis paper discusses a new class of matrix nearness problems that measure approximation error using a directed distance measure called a Bregman divergence. … WebMatrix nearness problems are introduced in [13] where for a xed matrix A, the problem of nding the nearest member of some given class of matrices is addressed, where distance is measured in a matrix norm. The problem of approximating a matrix with a positive semide nite symmetric matrix is ubiq-uitous in scienti c computing, see e.g. [12{15].

Low-Rank Positive Approximants of Symmetric Matrices

Web2 dagen geleden · Download Citation On Apr 12, 2024, Rahmatollah Lashkaripour and others published Normal Shape and Numerical Range of a Real 2-Toeplitz Tridiagonal Matrix Find, read and cite all the research ... Web1 dec. 2004 · Matrix nearness problems and applications. In M. J. C. Gower and S. Barnett, editors, Applications of Matrix Theory, pages 1-27. Oxford University Press, 1989. Google Scholar; P. Indyk. Sublinear time algorithms for metric space problems. In 31st Symposium on Theory of Computing, pages 428-434, 1999. can\u0027t have mine by dylan scott

The Metric Nearness Problem SIAM Journal on Matrix Analysis …

WebSolving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization ... Linear Algebra and its Applications 623, pp. 258-281, Special issue in honor of Paul Van Dooren, 2024. Hence most of the material of these notes take its roots in these papers, ... Web14 jul. 2024 · [Higham, Matrix Nearness Problems and Applications, Th. 4.1] does provide a positive answer to Question 1, and even a partial answer to Question 3. However, it does not contain any proof or reference for this theorem. Even though the author is quite trustworthy, I dare not rely on solely such a reference. Web12 apr. 2024 · Matrix nearness problems have deserved the attention of researchers; see, e.g., [8, 16, 17, 29] and references therein.For instance, distance measures to the … bridge investment group portal