Chapter 3 System of linear algebraic equation
نویسنده
چکیده
Topics from linear algebra form the core of numerical analysis. Almost every conceivable problem, be it curve fitting, optimization, simulation of flow sheets or simulation of distributed parameter systems requiring solution of differential equations, require at some stage the solution of a system (often a large system!) of algebraic equations. MATLAB (acronym for MATrix LABoratory) was in fact conceived as a collection of tools to aid in the interactive learning and analysis of linear systems and was derived from a well known core of linear algebra routines written in FORTRAN called LINPACK.
منابع مشابه
Numerical solution of Voltra algebraic integral equations by Taylor expansion method
Algebraic integral equations is a special category of Volterra integral equations system, that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expansion method. In this method, using the Taylor expansion of the unknown function, the algebraic integral equation system becom...
متن کاملChapter 4 Systems of nonlinear algebraic equations
As with the scalar case, the equation is satisfied only at selected values of x = r = [r1, r2, · · · , rn], called the roots. The separation process model discussed in section §1.3.1 (variations 2 and 3, in particular) and the reaction sequence model of section §1.3.5 are two of the many examples in chemical engineering that give rise to such non-linear system of equations. As with the scalar c...
متن کاملExtension of Cube Attack with Probabilistic Equations and its Application on Cryptanalysis of KATAN Cipher
Cube Attack is a successful case of Algebraic Attack. Cube Attack consists of two phases, linear equation extraction and solving the extracted equation system. Due to the high complexity of equation extraction phase in finding linear equations, we can extract nonlinear ones that could be approximated to linear equations with high probability. The probabilistic equations could be considered as l...
متن کاملOptimal integrated passive/active design of the suspension system using iteration on the Lyapunov equations
In this paper, an iterative technique is proposed to solve linear integrated active/passive design problems. The optimality of active and passive parts leads to the nonlinear algebraic Riccati equation due to the active parameters and some associated additional Lyapunov equations due to the passive parameters. Rather than the solution of the nonlinear algebraic Riccati equation, it is proposed ...
متن کاملSOLVING NONLINEAR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS OF THE FIRST-KIND USING BIVARIATE SHIFTED LEGENDRE FUNCTIONS
In this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear Volterra integral equations of the first-kind is proposed. This problem is transformedto a nonlinear two-dimensional Volterra integral equation of the second-kind. The properties ofthe bivariate shifted Legendre functions are presented. The operational matrices of integrationtogether with the produ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998