Generalization of Dodgson's "Virtual Center" Method; an Efficient Method for Determinant Calculation

نویسندگان

  • Elyas Shivanian Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran
چکیده مقاله:

Charles Dodgson (1866) introduced a method to calculate matrices determinant, in asimple way. The method was highly attractive, however, if the sub-matrix or the mainmatrix determination is divided by zero, it would not provide the correct answer. Thispaper explains the Dodgson method's structure and provides a solution for the problemof "dividing by zero" called "virtual center".

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Efficient Method for Model Reduction in Diffuse Optical Tomography

We present an efficient method for the reduction of model equations in the linearized diffuse optical tomography (DOT) problem. We first implement the maximum a posteriori (MAP) estimator and Tikhonov regularization, which are based on applying preconditioners to linear perturbation equations. For model reduction, the precondition is split into two parts: the principal components are consid...

متن کامل

Calculation of wedged dose distributions using an analytical method

Introduction: Wedge filters are used in radiotherapy to modify photon beam and improve dose uniformity in the target volume. Determination of wedge dose distribution is important to improve treatment planning accuracy. The utilization of treatment planning software to obtain dose distribution is not always available. In this work an analytical model has been developed to calcu...

متن کامل

An algebraic calculation method for describing time-dependent processes in electrochemistry – Expansion of existing procedures

In this paper an alternative model allowing the extension of the Debye-Hückel Theory (DHT) considering time dependence explicitly is presented. From the Electro-Quasistatic approach (EQS) introduced in earlier studies time dependent potentials are suitable to describe several phenomena especially conducting media as well as the behaviour of charged particles (ions) in electrolytes. This leads t...

متن کامل

Fast Bdd Truncation Method for Efficient Top Event Probability Calculation

A Binary Decision Diagram (BDD) [1-3] provides an efficient representation and manipulation of Boolean formulae, and it was shown that a BDD is effective in the diverse fields of computer science and reliability [4]. Bryant [3] popularized the use of a BDD by developing a set of algorithms for an efficient construction and manipulation of BDDs. The BDD algorithm was applied to a reliability ana...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 12  شماره 2

صفحات  97- 111

تاریخ انتشار 2018-12-01

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023