Nenegativne i M - matrice

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undergraduate thesis

Nenegativne i M - matrice

Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:698540

Crnobrnja, Tea

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

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APA 6th Edition

Crnobrnja, T. (2019). Nenegativne i M - matrice (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:698540

MLA 8th Edition

Crnobrnja, Tea. "Nenegativne i M - matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:698540

Chicago 17th Edition

Crnobrnja, Tea. "Nenegativne i M - matrice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:698540

Harvard

Crnobrnja, T. (2019). 'Nenegativne i M - matrice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 22 April 2025, https://urn.nsk.hr/urn:nbn:hr:126:698540

Vancouver

Crnobrnja T. Nenegativne i M - matrice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2025 April 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:698540

IEEE

T. Crnobrnja, "Nenegativne i M - matrice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:698540

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:698540

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Metadata

Title	Nenegativne i M - matrice
Title (english)	Nonnegative and M- Matrices
Author	Tea Crnobrnja
Mentor	Darija Marković (mentor)
Granter	Josip Juraj Strossmayer University of Osijek Department of Mathematics (Chair of Applied Mathematics and Computer Science) (Applied Mathematics and Optimization Research Group) Osijek
Defense date and country	2019-09-30, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics Algebra
Abstract	U ovome radu proučavat čemo posebnu kategoriju matrica. Definirat ćemo nenegativne matrice te uvesti pojam M–matrice. Navest ćemo primjere te karakterizaciju navedenih matrica. Promotrit ćemo nenegativne matrice čiji inverzi su M–matrice. Ako je A nenegativna matrica reda n i $A^{-1}$ je M–matrica, onda su gotovo glavni minori od A svakog reda nenegativni. Pokazat ćemo da je nesingularna matrica A reda p inverzna M–matrica ako i samo ako je $Q^{T}AQ + D$ inverzna matrica reda n, pri... More
Abstract (english)	This paper studies special matrix categories. We will define nonegative and introduce the term M–matrices. A characterization of a class of totally nonnegative matrices whose inverses are M–matrices is given. It is then shown that if A is nonnegative of order n and $A^{-1}$ is an M–matrix, then the almost principal minors of A of all orders are nonnegative. We show that a nonsingular p-by-p matrix A is an inverse M–matrix if and only if $Q^{T}AQ + D$ is an n-by-n inverse M–matrix... More
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:126:698540
Study programme	Title: University undergraduate study programme in mathematics Study programme type: university Study level: undergraduate Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Repository of School of Applied Mathematics and Informatics
Created on	2019-10-21 06:08:15

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