The solution of simultaneous equations
نویسندگان
چکیده
منابع مشابه
existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولComplete solution of a family of simultaneous Pellian equations
Let ck = P 2 2k + 1, where Pk denotes the k th Pell number. It is proved that for all positive integers k all solutions of the system of simultaneous Pellian equations z − ckx = ck − 1, 2z − cky = ck − 2 are given by (x, y, z) = (0,±1,±P2k). This result implies that there does not exist positive integers d > c > 2 such that the product of any two distinct elements of the set {1, 2, c, d} dimini...
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The solution of Systems of Simultaneous Non-Linear Equations (SNLE) remains a complex and as yet not closed problem. Although analytical methods to tackle such problems do exist, they are limited in scope and, in general, demand certain prior knowledge of the functions under study. In this paper we propose a novel method to numerically solve such systems by using a Genetic Algorithm (GA). In or...
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Let a⊕b = max(a, b) and a⊗b = a+b for a, b ∈ R. Max-algebra is an analogue of linear algebra developed on the pair of operations (⊕,⊗) extended to matrices and vectors. The system of equations A ⊗ x = b and inequalities C ⊗ x ≤ d have each been studied in the literature. We consider a problem consisting of these two systems and present necessary and sufficient conditions for its solvability. We...
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ژورنال
عنوان ژورنال: Psychometrika
سال: 1941
ISSN: 0033-3123,1860-0980
DOI: 10.1007/bf02292177