Results 21 to 30 of about 10,270 (229)
Eigenvalue Localization for Symmetric Positive Toeplitz Matrices
AxiomsGiven a real symmetric matrix, several inclusion and exclusion intervals containing its eigenvalues can be given. In this paper, for symmetric positive Toeplitz matrices, we provide an inclusion interval and, under an additional hypothesis, we also give ...
Juan M. Peña
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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
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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
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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
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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
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Permanental Inequalities for Totally Positive Matrices
The Electronic Journal of CombinatoricsWe characterize ratios of permanents of (generalized) submatrices which are bounded on the set of all totally positive matrices. This provides a permanental analog of results of Fallat, Gekhtman, and Johnson [Adv. Appl. Math. 30 (2003), 442-470] concerning ratios of matrix minors. We also extend work of Drake, Gerrish, and the first author [Electron. J.
Mark A. Skandera, Daniel Soskin
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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
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On Factorizations of Totally Positive Matrices [PDF]
, 1996 Different approaches to the decomposition of a nonsingular totally positive matrix as a product of bidiagonal matrices are studied. Special attention is paid to the interpretation of the factorization in terms of the Neville elimination process of the matrix and in terms of corner cutting algorithms of Computer Aided Geometric Design.
Mariano Gasca, Juan M. Peña
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 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
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