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129 049 (0,18s)

Result

Old and New about Positive Definite Matrices

The first part of the paper recalls and enlarges some results which appeared in the author?s paper published 50 years ago, characterizing the relationship between the diagonal entries of mutually inverse positive definite matrices. ...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
Result

Positive semidefiniteness and positive definiteness of a linear parametric interval matrix

the problem of checking whether for each (or some) setting of the parameters, the matrix is positive definite (or positive semidefinite). We state a characterization in the form conditions. Our results extend the ...

Economic Theory

  • 2018
  • D
  • Link
Result

Nonsingularity, Positive Definiteness, and Positive Invertibility under Fixed-Point Data Rounding

definiteness, and positive invertibility.For a real square matrix $A$ and an integer $dgeq 0$, let $A_(d)$ denote the matrix formed from $A$ by rounding off all its coefficients to $d$ decimal places property, und...

BA - Obecná matematika

  • 2007
  • Jx
Result

A note on regularity and positive definiteness of interval matrices

We present a sufficient regularity condition for interval matrices which generalizes two previously known ones. It is formulated in terms of positive definiteness of a certain point matrix, and can also be used for checking...

BA - Obecná matematika

  • 2012
  • Jx
  • Link
Result

Optimisation of Breeding Programmes of Beef Cattle - Stochastic Simulation of Population

correlation matrix was required for simulation. Because this matrix should be positive definite for computation a statistic method known as "bending" were used to make it positive definite. The s...

GI - Šlechtění a plemenářství hospodářských zvířat

  • 2008
  • D
Result

Contracting Optimally an Interval Matrix without Loosing Any Positive Semi-Definite Matrix Is a Tractable Problem

In this paper, we show that the problem of computing the smallest interval submatrix of a given interval matrix [A] which contains all symmetric positive semi-definite (PSD) matrices of [A], is a linear matrix ineq...

BC - Teorie a systémy řízení

  • 2005
  • Jx
Result

Some observations on variance matrices

A class of special matrices is introduced. It is a symmetric matrix depending on the order and a parameter which can also be a square matrix itself. The connected minors of the matrix can be completely described. There are ...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Tolerances, robustness and parametrization of matrix properties related to optimization problems

are positive definiteness; M-matrix, H-matrix and P-matrix property; total positivity. In this paper, we turn to another question. Suppose that A is a matrix having a specific still rema...

Economic Theory

  • 2019
  • Jimp
  • Link
Result

On positivity of the three term 2n-order difference operators

It is shown that the symmetric, three term, 2n-order difference equation possesses a positive solution if and only if the infinite matrix associated with this equation is nonnegative definite....

BA - Obecná matematika

  • 2009
  • Jx
Result

Finding positive matrices subject to linear restrictions

We characterize the existence of a positive definite l x l matrix X the entries of which satisfy n nonhomogeneous linear conditions by the existence of a minimum for an associated smooth and strictly convex function V on Rn...

BA - Obecná matematika

  • 2007
  • Jx
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