Results 271 to 280 of about 285,483 (304)

Compressions of Totally Positive Matrices

SIAM Journal on Matrix Analysis and Applications, 2006
The paper deals with the total positivity of the compressed matrix of a totally positive matrix \(A\). Consider \(nk \times nk\) partitioned matrices \(A=(A_{ij})_{i,j=1}^k\), in which each block \(A_{ij}\) is \(n \times n\). The \(k \times k\) compressed matrix is defined by \[ C_k(A)=(\det A_{ij})_{i,j=1}^k.
Shaun M. Fallat   +3 more
openaire   +2 more sources

A Hurwitz Matrix is Totally Positive

SIAM Journal on Mathematical Analysis, 1982
If the real polynomial $f(w) = \sum_0^n {d_j } w^{n - j} $ with $d_0 > 0$ has all its zeros in $\operatorname{Re} (w) \leqq 0$, then the infinite matrix H with elements $H_{i,j} = d_{2j - i} $ is totally positive. As a consequence, a real polynomial $\sum_j {b_j w^j } $ has at least $M = \max (\sigma _0 ,\sigma _1 )$ zeros in each half plane ...
openaire   +1 more source

On Totally Positive Discrete- Time Systems

2019 27th Mediterranean Conference on Control and Automation (MED), 2019
A matrix is called totally positive (TP) if all its minors are positive. A linear time-varying system is called a totally positive discrete-time system (TPDTS) if the matrix defining its evolution is TP for all time. It was recently shown that this can be used to prove strong asymptotic properties of certain time-varying nonlinear discrete-time systems.
Rami Katz   +2 more
openaire   +1 more source

Total Positivity. A Review.

1984
Abstract : The main objective of this paper is to review the concepts of total positivity, which plays an important role in various domains of mathematics and statistics. This article describes the power and scope of total positivity, and samples the great variety of fields of its applications. (Author)
F. Proschan, J. S. Kim
openaire   +1 more source

Positivity explains how COVID-19 perceived risk increases death distress and reduces happiness

Personality and Individual Differences, 2021
Abdurrahim GÜLER, Murat Yildirim
exaly  

Positivity Ratio and Well-Being Among Teachers. The Mediating Role of Work Engagement

Frontiers in Psychology, 2020
Petruta P Rusu, Aurora Adina Colomeischi
exaly  

Total Positivity

2010
Albert W. Marshall   +2 more
openaire   +1 more source

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