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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Widya Warta Educatio Vitae JIEM Jurnal Edukasi Matematika dan Sains Panrita Abdi - Jurnal Pengabdian pada Masyarakat Jurnal Abdimas BSI: Jurnal Pengabdian Kepada Masyarakat JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya Jurnal Paedagogy Journal of Educational Review and Research Mosharafa: Jurnal Pendidikan Matematika J-ABDIPAMAS (Jurnal Pengabdian Kepada Masyarakat)
Gregoria Ariyanti
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Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : Widya Warta

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KARAKTERISASI MATRIKS ATAS SEMIRING DALAM SISTEM PERSAMAAN LINEAR Ariyanti, Gregoria
Widya Warta No. 01 Tahun XLIII/Januari 2019
Publisher : Universitas Katolik Widya Mandala Surabaya Kampus Kota Madiun

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Abstract

A Semiring is an algebraic structure such that is a commutative Semigroup with identity element 0, is a Semigroup with identity element 1, distributive property of multiplication over addition and multiplication by 0 as a absorbent element in . A linear equations system over a Semiring is a pair where is a matrix with entries in and is a vector over . In this paper will be described characterization of matrix that satisfies , with , as necessary or sufficient conditions of solution of linear equations system over Semiring . For a matrix that satisfies , a linear equations system has solution with arbitrary in if and only if .
ALJABAR MAX PLUS : SUATU KAJIAN TEORI DAN APLIKASI FUNDAMENTALNYA Ariyanti, Gregoria
Widya Warta No. 02 Tahun XXXV / Juli 2011
Publisher : Universitas Katolik Widya Mandala Surabaya Kampus Kota Madiun

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Abstract

In max-plus algebra we work with the algebra structures consisting of the set ℝ = ℝ ∪ {−∞} together with operations ab = max(a,b) and ab = a+ b. The additive and multiplicative identities are taken to be  = −∞ and e = 0 respectively. Its operations are associative, commutative and distributive similar to those in conventional algebra. In this article matrix over max-plus algebra (or in ℝ ) is defined. This article emphasizes on max-plus linear algebra specifically. It is evident that some of the concepts of conventional linear algebra are also possessed by a max-plus version. The solvability of linear systems, such as Ax = b is specifically elaborated in this article.
Co-Authors Ana Easti Rahayu Maya Sari Angga Rahabistara Sumadji Ari Suparwanto ARI SUPARWANTO Ari Suparwanto Budi Surodjo David Ary Wicaksono Devy Yuliastri Kurnia Putri Devy Yuliastri Kurnia Putri, Devy Elisabeth Ungaria Ega Puspitasari Epi Jiem Pania Fransiskus Gatot Santoso Hendry Vebriana, Yemima Intan Nurditasari Kristin Anggraini Laurensia Youlanda Alviandita Maria Josephine Kriesye Mariani Dian Marlince Pati Bebe Martaningrum, Melita Mateus Yumarnamto Melita Martaningrum Natalis Nero Patalas Novia Sukma Dia Pertiwi Nurditasari, Intan Pania, Epi Jiem Patalas, Natalis Nero Pati Bebe, Marlince Puspitasari, Elisabeth Ungaria Ega Resty Rahajeng Santoso, Fransiskus Gatot Iman Sari, Wiyola Nensiana Septia Dana, Theressa Sukma Dia Pertiwi, Novia Theressa Septia Dana Ungaria Ega Puspitasari, Elisabeth Vebriana, Yemima Hendry Wiyola Nensiana Sari Yashinta, Acintya Pramudita Yemima Hendry Vebriana Youlanda Alviandita, Laurensia Yustinus Setio Laksono Yustinus Setio Laksono, Yustinus Setio