A New Method for Computing Determinants By Reducing The Orders By Two

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
Abstract:

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.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

solution of security constrained unit commitment problem by a new multi-objective optimization method

چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...

study of cohesive devices in the textbook of english for the students of apsychology by rastegarpour

this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...

A New Method for Color Gamut Mapping by Genetic Algorithm

To reproduce an image, it is necessary to map out of gamut colors of the image to destination gamut. It is clear that the best color gamut mapping introduces the perceptually closest image to the original one. In this study, a new color gamut mapping is purposed by the aid of Genetic Algorithm (GA). The color difference between the original and mapped images based on S-LAB formula was chosen as...

full text

A new characterization of $L_2(q)$ by the largest element orders

‎We characterize the finite simple groups $L_2(q)$ by the group orders and the largest‎ ‎element orders‎, ‎where $q$ is a prime or $q=2^a$‎, ‎with $2^a+1$ or $2^a-1$ a prime‎.  

full text

INHIBITION OF14C UPTAKE BY CANDIDA ALBICANS: A NEW METHOD FOR INVESTIGATION OF INTRACELLULAR KILLING BY PHAGOCYTES

A radio assay employing 14C-uridine to measure the intracellular killing of Candida albicans by phagocytes is presented. The principle of this new method is that after killing of Candida albicans by phagocytes RNA synthesis stops and therefore uridine uptake is diminished whilst viable candida in cultures would take up uridine and as a result, high CPM counts can be obtained within 135 min...

full text

A New Method for Ranking Fuzzy Numbers By the Center Of ‎Mass‎

In this paper , we present the first moment has been defined based on the center of mass from the fuzzy number, then with calculating area between the center of mass, a new ranking method has been proposed. At last we present some numerical examples to illustrate our proposed method, then comparing with distance index ranking method.

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 7  issue 1

pages  16- 24

publication date 2018-04-01

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023