یک روش جدید برای محاسبه ی دترمینان ها با کاهش مرتبه ها به اندازه ی دو

In this paper we will present a new method to calculate determinants of square matrices. The method is based on the Chio-Dodgson s condensation formula and our approach automatically affects in reducing the order of determinants by two. Also, using the Chio s condensation method we present an inductive proof of Dodgson s determinantal identity.

Keywords:

Chio s condensation Method , Dodgson s Condensation Method , determinants , determinantal identity , Laplace expansion

Authors

Hossein Faal

Department of Mathematics and Computer Science, Allameh Tabatabai University of Tehran

Morteza Bayat

‎Department of Mathematics, Zanjan Branch‎, ‎Islamic Azad University‎, ‎Zanjan‎, ‎Iran

Certificate
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لینک ثابت به این Paper:

https://civilica.com/doc/938317

شناسه ملی سند علمی:

JR_CJMS-7-1_002

تاریخ نمایه سازی: 16 مهر 1398

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Faal, Hossein and Bayat, Morteza,1397,یک روش جدید برای محاسبه ی دترمینان ها با کاهش مرتبه ها به اندازه ی دو,https://civilica.com/doc/938317

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of University of Tehran

Type of center: دانشگاه دولتی

Paper count: 100,823

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