Filters
Stable computations of generalized inverses of positive semidefinite matrices
Some efficient methods for solving linear systems with a symmetric positive semidefinite matrix in the FETI context are reviewed.
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Semidefinite Representation of Convex Hulls of Rational Varieties
Using elementary duality properties of positive semidefinite moment matrices parameterized algebraic varieties is semidefinite representable (that is, it can be represented as a projection of an affine section of the cone o...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Sign-changing diagonal perturbations of Laplacian matrices of graphs
of the graph Laplacian matrix. We generalize our results to positive semidefinite matricesIn this paper we provide sufficient conditions for positive (semi)definiteness of sign-changing diagonal perturbations of positive semide...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Semidefinite Geometry of the Numerical Range
of positive semidefinite matrices (or semidefinite cone for short). In particular), an affine section of the semidefinite cone, is always dual to the numerical range of a matrix, which is therefore an affine proje...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Matrices and Graphs in Euclidean Geometry.
Theory of matrices, in particular positive semidefinite matrices, as well as theory of finite nondirected graphs is applied to study basic notions of Euclidean geometry. Special kinds of simplices are studied in detail. In ...
BA - Obecná matematika
- 2001 •
- B
Rok uplatnění
B - Odborná kniha
Optimal singular correlation matrices estimated when sample size is less than the number of random variables
for such optimal singular positive semidefinite correlation matrices. Many examples of optimal correlation matrices are given, both analytically and numerically. of optimal correlation matrices in relation to corr...
BB - Aplikovaná statistika, operační výzkum
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A variant of Schur's product theorem and its applications
We show the following version of the Schur's product theorem. If M is a positive semidefinite matrix with all entries on the diagonal equal to one, then the matrix M.M-E/n is positive semidefinite. As a corollary of this result, we ...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Analysis of fixing nodes used in generalized inverse computation
a generalized inverse of a symmetric positive semidefinite matrix, for example in the solution of contact problems. Systems with semidefinite matrices can be solved by standarddirect methods for the solution of systems wit...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Cholesky decomposition of a positive semidefinite matrix with known kernel
The Cholesky decomposition of a symmetric positive semidefinite matrix A is a useful tool for solving the related consistent system of linear equations or evaluating the action of a generalized inverse, especially when A is relatively large ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
About algorithm for sum of squares decomposition of real polynomial
Sum of squares decomposition is a well-known method for proving of polynomial nonnegativity. But how to generate this with help of computer?...
AM - Pedagogika a školství
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
- 1 - 10 out of 4 553