Results 41 to 50 of about 5,438,961 (250)
Total positivity of Toeplitz matrices of recursive hypersequences
Ars Mathematica Contemporanea, 2019 We present a new class of totally positive Toeplitz matrices composed of recently introduced hyperfibonacci numbers of the $r$-th generation. As a consequence, we obtain that all sequences $F_n^{; ; ; ; ; ; (r)}; ; ; ; ; ; $ of hyperfibonacci numbers of $r$-th generation are log-concave for $r \geq 1$ and large enough $n$.
Tomislav Doslic +2 more
openaire +7 more sources
Characterizations of rectangular totally and strictly totally positive matrices [PDF]
, 2010 An n×m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin
Ricarte, Beatriz +2 more
core +1 more source
An Optimal Property of B-Bases for the Modified Richardson Method
AxiomsA space with a normalized totally positive basis has a unique normalized B-basis. In computer-aided geometric design, normalized B-bases present optimal shape-preserving properties.
Juan Manuel Peña
doaj +1 more source
How Dirac's Seminal Contributions Pave the Way for Comprehending Nature's Deeper Designs
Quanta, 2019 Credible reasons are presented to reveal that many of the lingering century old enigmas, surrounding the behavior of at least an individual quantum particle, can be comprehended in terms of an objectively real specific wave function.
Mani Lal Bhaumik
doaj +1 more source
Weak interlacing properties of totally positive matrices [PDF]
, 1985 We prove certain interlacing inequalities for the eigenvalues of totally positive ...
Friedland, Shmuel
core +1 more source
A new class of matrices with positive inverses [PDF]
, 1975 It is well known that irreducibly diagonally- dominant matrices with positive diagonal and non-positive off-diagonal elements have positive inverses. A whole class of symmetric circulant and symmetric quindiagonal Toeplitz matrices with positive inverses
Meek, D S
core +6 more sources
Accurate Computations with Generalized Pascal k-Eliminated Functional Matrices
MathematicsThis paper presents an accurate method to obtain the bidiagonal decomposition of some generalized Pascal matrices, including Pascal k-eliminated functional matrices and Pascal symmetric functional matrices.
Jorge Delgado +2 more
doaj +1 more source
Matrices totally positive relative to a tree, II
Linear Algebra and its Applications, 2016 In this paper we prove that for a general tree $T$, if $A$ is T-TP, all the submatrices of $A$ associated with the deletion of pendant vertices are $P$-matrices, and $\det A>0$, then the smallest eigenvalue has an eigenvector signed according to $T$.
R.S. Costas-Santos, C.R. Johnson
openaire +4 more sources
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
High Relative Accuracy for Corner Cutting Algorithms
AxiomsCorner cutting algorithms are important in computer-aided geometric design and they are associated to stochastic non-singular totally positive matrices. Non-singular totally positive matrices admit a bidiagonal decomposition. For many important examples,
Jorge Ballarín +2 more
doaj +1 more source