Results 21 to 30 of about 635,756 (168)
Frontiers in Plant Science, 2022 Plants are exposed to increasingly severe drought events and roots play vital roles in maintaining plant survival, growth, and reproduction. A large body of literature has investigated the adaptive responses of root traits in various plants to water ...
Xinyue Kou +3 more
doaj +1 more source
On Hyperbolic Polynomials with Multiple Roots [PDF]
Proceedings of the American Mathematical Society, 1969 Let Q(z) Q(z, **, zn) be a polynomial of degree m > 1 in Z(Zl, , * Zn) with complex coefficients. Let P(z) be the principal part, homogeneous of degree m. Q is defined to be hyperbolic with respect to the real vector t-(4, , n) $0, in the sense of Garding [1], if P(t)z0 and if there exists a real number to such that for Re r> to, and all real vectors 7,
openaire +2 more sources
Multiple idiopathic root resorption: Etiology and management strategies [PDF]
Kouqiang yixueMultiple idiopathic root resorption(MIRR) is a rare progressive destructive dental condition with unclear etiology and pathogenesis. Based on anatomical location, it can be classified into three types: multiple idiopathic cervical root resorption(MICRR),
GUAN Yewen, SONG Yaling
doaj +1 more source
Journal of Family Medicine and Primary Care, 2022 Background: In recent times, single-sitting root canal therapy has gained momentum over multiple-sitting root canal therapy due to its superior clinical outcome and less time required for treating the patient.
Rohit Agrawal +6 more
doaj +1 more source
Root-multiplicity and root iterative refinement
Filomat, 2023 We discuss root-finding algorithms for multiple zeros of nonlinear equations in one variable. Recent investigations regarding this problem were mainly aimed at deriving schemes that use the beforehand knowledge of root multiplicity. In this communication we investigate several such root-finding methods under the assumption that the ...
openaire +1 more source
One-Point Optimal Family of Multiple Root Solvers of Second-Order
Mathematics, 2019 This manuscript contains the development of a one-point family of iterative functions. The family has optimal convergence of a second-order according to the Kung-Traub conjecture.
Deepak Kumar +2 more
doaj +1 more source
Roots Multiplicity without Companion Matrices [PDF]
Fundamenta Informaticae, 2017 We show a method for constructing a polynomial interpolating roots’ multiplicities of another polynomial, that does not use companion matrices. This leads to a modification to Guersenzvaig–Szechtman square-free decomposition algorithm that is more efficient both in theory and in practice.
openaire +3 more sources
Subresultants in multiple roots: An extremal case [PDF]
Linear Algebra and its Applications, 2017 18 pages, uses elsart.
Bostan, Alin +4 more
openaire +4 more sources
AxiomsIn this study, we have performed a comprehensive dynamical assessment of a sixth-order parametric family of iterative methods for computing multiple roots of nonlinear equations.
Young Hee Geum
doaj +1 more source
An Efficient Family of Optimal Eighth-Order Multiple Root Finders
Mathematics, 2018 Finding a repeated zero for a nonlinear equation f ( x ) = 0 , f : I ⊆ R → R has always been of much interest and attention due to its wide applications in many fields of science and engineering.
Fiza Zafar +2 more
doaj +1 more source