Results 221 to 230 of about 20,142 (264)

On Approximation of Equations by Algebraic Equations

Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 1964
Some years ago D. I. Muller [1] developed a method for the solution of algebraic equations, approximating them by quadratic equations. The method proved extremely efficient in many tests. However, the theoretical discussion given by Muller can hardly be considered as adequate, in my opinion, as his convergence proof culminates in a vicious circle (cf ...
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On the Reduction of Differential Equations to Algebraic Equations

SIAM Journal on Mathematical Analysis, 1970
Abstract : Techniques based upon elementary group theory for the reduction of a given system of partial differential equations to a system of differential equations in fewer independent variables are extended in this report. Specifically, the extension is aimed at reducing a given system to a system of algebraic equations. (Author)
Moran, M. J., Gaggioli, R. A.
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Algebraic Riccati Equations

1995
Abstract This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions.
Peter Lancaster, Leiba Rodman
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Equations in the algebra of logic

Proceedings 32nd IEEE International Symposium on Multiple- Valued Logic, 2003
We survey the basic results in the theory of Boolean equations and the theory of equations in Post algebras. The two theories share four common features, which are analysed from the point of view of universal algebra; this yields further generalizations.
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Roots of algebraic equations and Clifford algebra

Advances in Applied Clifford Algebras, 1999
The author investigates roots of real polynomials inside the real two-dimensional Clifford algebra with generator \(\varepsilon\), \(\varepsilon^2=1\), calling the elements of this algebra hyperbolic. The corresponding numbers of real and hyperbolic roots of a polynomial are calculated.
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The Riccati algebraic equation in a locallyC ⋆-algebra

Integral Equations and Operator Theory, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Systems of algebraic equations

1979
There are two classical classes of methods to solve systems of algebraic equations (i.e. to find the common zeros of a finite number of polynomials in a finite number of variables). The first class consists of methods which concern numerical analysis and get the roots by successive approximations.
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Equational bases of boolean algebras

Journal of Symbolic Logic, 1964
It is well-known that a Boolean algebra (B, +, ., ‐) may be defined as an algebraic system with at least two elements such that (for all x, y, z ε B): These axioms or equations are not independent, in the sense that some of them are logical consequences of the others. B. A.
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Equational Elements in Additive Algebras

Theory of Computing Systems, 1999
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RELATIONAL ALGEBRA AND EQUATIONAL PROOFS

Fundamenta Informaticae, 1995
A proposal is made for a formal framework in which equational provability can be represented and investigated. The basic formalism is an algebra of binary relations on ground terms of a first-order language. Two special-purpose mappings are introduced to deal with the structure of terms.
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