Results 1 to 10 of about 774 (80)

Real Root Polynomials and Real Root Preserving Transformations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
Polynomials can be used to represent real-world situations, and their roots have real-world meanings when they are real numbers. The fundamental theorem of algebra tells us that every nonconstant polynomial p with complex coefficients has a complex root.
Suchada Pongprasert   +3 more
doaj   +1 more source

Hierarchical Zonotopal Power Ideals [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
Zonotopal algebra deals with ideals and vector spaces of polynomials that are related to several combinatorial and geometric structures defined by a finite sequence of vectors.
Matthias Lenz
doaj   +1 more source

Hilbert polynomials of the algebras of $SL_ 2$-invariants

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
doaj   +1 more source

Polynomials—Unifying or Fragmenting High School Mathematics?

open access: yesEducation Sciences
This paper presents research on the origin, scope, evolution, and rationale of knowledge about polynomials in high school mathematics. Within the framework of the Anthropological Theory of the Didactic, Croatian high school curricula and textbooks were ...
Jelena Pleština   +2 more
doaj   +1 more source

Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati   +2 more
doaj   +1 more source

Complex power polynomials for solving the problem of identifying linear circuit parameters

open access: yesНаучно-технический вестник информационных технологий, механики и оптики
The identification of parameters of linear electrical circuits refers to the problems of analysis and inverse problems of electrical engineering. Modern research in this field mainly boils down to determining the impulse response and/or the transfer ...
N. V. Korovkin, A. Yu. Grishentsev
doaj   +1 more source

Quantum Computational Complexity of Matrix Functions

open access: yesPRX Quantum
We investigate the dividing line between classical and quantum computational power in estimating properties of matrix functions. More precisely, we study the computational complexity of two primitive problems: given a function f and a Hermitian matrix A,
Santiago Cifuentes   +4 more
doaj   +1 more source

Polynomials in algebras of linear forms

open access: yesIndagationes Mathematicae (Proceedings), 1981
van Maaren, H., De Smet, H.J.P.
openaire   +2 more sources

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