Results 91 to 100 of about 6,521,824 (285)
Extensions of the Eneström-Kakeya theorem for matrix polynomials
Special Matrices, 2019 The classical Eneström-Kakeya theorem establishes explicit upper and lower bounds on the zeros of a polynomial with positive coefficients and has been generalized for positive definite matrix polynomials by several authors.
Melman A.
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, 2003 In this paper we suggest a hybrid method for computing the smallest eigenvalue of a symmetric and positive definite Toeplitz matrix which takes advantage of two types of methods, Newton's method for the characteristic polynomial and projection ...
Toeplitz Matrix +3 more
core
Symmetric and Positive Definite Broyden Update for Unconstrained Optimization
مجلة بغداد للعلوم, 2019 Broyden update is one of the one-rank updates which solves the unconstrained optimization problem but this update does not guarantee the positive definite and the symmetric property of Hessian matrix.
Saad et al.
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Seasonal Fluctuations of Plastochromanol‐8 and α‐Tocopherol Amounts in the Leaves of Cecropia Trees
Journal of the American Oil Chemists' Society, EarlyView.ABSTRACT Plastochromanol‐8 (PC‐8) is a homologue of γ‐tocotrienol with a longer side chain (eight instead of three isoprene units) and therefore also a representative of the tocochromanol (vitamin E) group. PC‐8 has been determined in various plants and seeds, with Cecropia sp. leaves showing unusually high levels.
Rosalie Ormos, Jörg Rau, Walter Vetter
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A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix
Advances in Linear Algebra & Matrix Theory, 2013 We exploit the theory of reproducing kernels to deduce a matrix inequality for the inverse of the restriction of a positive definite Hermitian matrix.
Weixiong Mai +4 more
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Nasal soft‐tissue anatomy of Triceratops and other horned dinosaurs
The Anatomical Record, EarlyView.Abstract Although ceratopsid dinosaurs possess a characteristically hypertrophied narial region, soft‐tissue anatomy associated with such a skeletal structure and their biological significance remain poorly understood. The present study provides the first comprehensive hypothesis on the soft‐tissue anatomy in the ceratopsid rostrum based on the Extant ...
Seishiro Tada +5 more
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A matrix pair of an almost diagonal skew-symmetric matrix and a symmetric positive definite matrix
Linear Algebra and its Applications, 1993 Let A be skew-symmetric, B be symmetric positive definite, and the pair (A, B) have multiple eigenvalues. If A is close to Murnaghan form and B is close to diagonal form, then certain principal submatrices of A and B are specially related. In this paper we describe this relationship and quantify it under the usual asymptotic conditions.
Hari, Vjeran, Rhee, Noah H.
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Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
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Measuring Sphericity in Positive Semi-Definite Matrices
AxiomsThe measure of sphericity for positive semi-definite matrices plays a crucial role in understanding their geometric properties, especially in high-dimensional settings.
Dário Ferreira, Sandra S. Ferreira
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Mathematical aspects for electrical network connections
KKU Engineering Journal, 2016 In this paper, we survey the role of mathematics in electrical network connections. We discuss the behavior of current flows, voltages and impedances mainly for series-parallel networks.
Pattrawut Chansangiam
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