Search Results - Polynomials in real and complex fields: factorization

Factorization of the Non-Normal Hamiltonian of Reggeon Field Theory in Bargmann Space by Intissar, Abdelkader

“…In this paper, we present a “non-linear” factorization of a family of non-normal operators arising…”
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Addendum to “Factoring skew polynomials over Hamilton's quaternion algebra and the complex numbers” [J. Algebra 427 (2015) 20–29] by Pumplün, S.

“…Let D be the quaternion division algebra over a real closed field F. Then every non-constant polynomial in a skew-polynomial ring D[t;σ,δ…”
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Computational aspects of modular forms and Galois representations: how one can compute in polynomial time the value of Ramanujan's tau at a prime. by Couveignes, Jean-Marc, Couveignes, Jean-Marc, Edixhoven, Bas

“… This book gives an algorithm for computing coefficients of modular forms of level one in polynomial time…”
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Topics in Quaternion Linear Algebra by Rodman, Leiba

“…Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important…”
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Skew-symmetric matrix polynomials and their Smith forms by Mackey, D. Steven, Mackey, Niloufer, Mehl, Christian, Mehrmann, Volker

“…Two canonical forms for skew-symmetric matrix polynomials over arbitrary fields are characterized…”
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The large N factorization does not hold for arbitrary multi-trace observables in random tensors: The large N factorization by Gurau, Razvan, Joos, Felix, Sudakov, Benjamin

“…We consider real tensors of order D , that is D -dimensional arrays of real numbers T a 1 a 2…”
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On the relationship between the stochastic Galerkin method and the pseudo-spectral collocation method for linear differential algebraic equations by Manfredi, Paolo, De Zutter, Daniël, Vande Ginste, Dries

“…Polynomial chaos-based methods have been extensively applied in electrical and other engineering problems for the stochastic simulation of systems with uncertain parameters…”
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On the smallest number with a given number of divisors by Savvopoulou, Anna K., Wedrychowicz, Christopher M.

“… numbers less than or equal to a positive real number x , | E x | = o x 2 ( log ( log x ) ) δ for any 0 < δ < 1 / 2 . In what follows, we will prove…”
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The application of polynomial matrix factorization in active network synthesis by Kandi, Dragan B., Reljin, Branimir D.

“…Purpose - To investigate the general necessary condition for synthesis of square, real rational matrices of complex frequency as admittance matrices of active multiports with resistors, inductors…”
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Elliptic tales: curves, counting, and number theory by Ash, Avner, Gross, Robert

“…Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the…”
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Renormalization and 3-manifolds which fiber over the circle by McMullen, Curtis Tracy

“…No detailed description available for "Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142"…”
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Higher-Degree Polynomials by Irving, Ron

“…We have devoted chapters to quadratic, cubic, and quartic polynomials. This pattern cannot continue through all degrees, and not just because the resulting book would be infinitely long…”
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Derandomization and absolute reconstruction for sums of powers of linear forms by Koiran, Pascal, Skomra, Mateusz

“… As one of our main results we give an algorithm for the following problem: given a homogeneous polynomial of degree 3, decide whether it can be written as a sum of cubes of linearly independent linear forms with complex coefficients…”
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Multi-instance iris remote authentication using private multi-class perceptron on malicious cloud server by Morampudi, Mahesh Kumar, Veldandi, Sowmya, Prasad, Munaga V. N. K., Raju, U. S. N.

“… ) have been extensively accepted in various fields. The main step in MBS is information fusion. On the other hand, directly storing the fused templates into a centralized server leads to privacy concerns…”
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Polynomials by Lang, Serge

“…Let K be a field. Every reader of this book will have written expressions like $${a_n}{t^n} + {a^{n - 1}} + ... + {a_{0,}}$$ where a0,...,an are real or complex numbers…”
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Polynomial matrix primitive factorization over arbitrary coefficient field and related results by Guiver, J., Bose, N.

“… ; so, for example, one could do the factorization over the real field or even the field of rational numbers, provided the coefficients start out in these…”
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Polynomials with Special Regard to Reducibility by Schinzel, A.

“… Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real…”
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Splitting full matrix algebras over algebraic number fields by Ivanyos, Gábor, Rónyai, Lajos, Schicho, Josef

“… An ff-algorithm is a deterministic procedure which is allowed to call oracles for factoring integers and factoring univariate polynomials over finite fields…”
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Factoring Rational Polynomials over the Complex Numbers by Bajaj, Chanderjit, Canny, John, Garrity, Thomas, Warren, Joe

“…NC algorithms are given for determining the number and degrees of the factors, irreducible over the complex numbers ${\bf C…”
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An Elementary Transition to Abstract Mathematics by Effinger, Gove W., Mullen, Gary L., 1947

“…; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices…”
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