Recursive solution of Löwner-Vandermonde systems of equations. I

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 ...

Recursive Method for the Solution of Systems of Linear Equations

New solution method for the systems of linear equations in commutative integral domains is proposed. Its complexity is the same that the complexity of the matrix multiplication.

Numerical Differentiation and the Solution of Multidimensional Vandermonde Systems

We define multidimensional Vandermonde matrices (MV) to be certain submatrices of Kronecker products of standard Vandermonde matrices. These MV matrices appear naturally in multidimensional problems of polynomial interpolation. An explicit algorithm is produced to solve systems of linear equations with MV matrices of coefficients. This is an extension of work of Stenger for the two-dimensional ...

Recursive Solution of Certain Structured Linear Systems

The Bicategory-Theoretic Solution of Recursive Domain Equations

We generalise the traditional approach of Smyth and Plotkin to the solution of recursive domain equations from order-enriched structures to bicategorical ones and thereby develop a bicategorical theory for recursively defined domains in accordance with Axiomatic Domain Theory.