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All Journal EKSAKTA: Journal of Sciences and Data Analysis MATEMATIKA CAUCHY: Jurnal Matematika Murni dan Aplikasi Indonesian Journal of Mathematics and Natural Sciences Al-Jabar : Jurnal Pendidikan Matematika Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Matematika UNAND Majalah Ilmiah Matematika dan Statistika (MIMS) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Fundamental Mathematics and Applications (JFMA) Limits: Journal of Mathematics and Its Applications
Titi Udjiani SRRM
Departemen Matematika, Fakultas Sains Dan Matematika, Universitas Diponegoro
Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Education Engineering Materials Science & Nanotechnology Mathematics

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Journal : MATEMATIKA

 1 
MOTIVASI DEFINISI INVERS MOORE PENROSE PADA RING DENGAN ELEMEN SATUAN YANG DILENGKAPI INVOLUSI SRRM, Titi Udjiani
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Development on the research of the  inverse  matrix until the Moore Penrose inverse matrix motivate researchers to conduct the research on the Moore Penrose inverse and the inverse of element in the ring with a unit element. The  used method  is  expanding the definition of   inverse in matrix to the ring with a unit element. Also  generalizing the  transpose  operation of matrix to  be a function of involution on the ring.
MATRIKS INVERS MOORE PENROSE ATAS DAERAH INTEGRAL SRRM, Titi udjiani
MATEMATIKA Vol 2, No 8 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

The Inverse Moore Penrose matrix has been applied in various areas, for example in statistic and optimization. In this paper we study Inverse Moore Penrose matrix which is applied to Integral Domain. We will first discuss the characterization of all matrices over Integral Domain which admits Moore Penrose Inverse. With this characterization we will derive  necessary and sufficient conditions for a matrix to have a Moore Penrose Inverse. We also show the relations between Moore Penrose Inverse matrix and Compound matrix. The aim of this paper is to obtain an explicit formula for the Moore Penrose Inverse when it exist and gives a necessary and sufficient condition for a matrix to have a Moore Penrose Inverse under the assumption that a matrix has a rank factorization.  
SISTEM PERSAMAAN LINEAR ATAS RING KOMUTATIF SRRM, Titi udjiani
MATEMATIKA Vol 9, No 3 (2006): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Linear systems  equations over commutatif ring are linear systems  equations with the coeffici-ents of these equations are elements from commutatif ring. This paper discusses about basic theorems on solution of linear systems equations over commutatif ring. The basic theorems will be found by using characteristic of ideal ,annihilator and rank of coefficient matrices of linear systems equations over commutatif ring. The ideal  is generated by minors of coefficient matrices of linear systems equations over commutatif ring. Computing the annihilator of ideal we get the rank of coefficient matrices of linear systems equations over commutatif ring
MODEL OPTIMASI ECONOMIC ORDER QUANTITY DENGAN SISTEM PARSIAL BACKORDER DAN INCREMENTAL DISCOUNT Nurhayati, Neri; Puspita, Nikken Prima; SRRM, Titi Udjiani
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Economic Order Quantity model with partial backorder system and incremental discount is an integration of several model of inventory optimation, they were Economic Order Quantity optimation model, Economic Order Quantity optimation model with partial backorder system and Economic Order Quantity optimation model with incremental discount. Beside the discounts are given by supplier, in this model there were two stockout conditions, where the consumers disposed to wait until the order came and consumers did not disposed to wait until the order came. 
APLIKASI INVERS GRUP PADA KARAKTERISASI INVERS MOORE PENROSE SRRM, Titi Udjiani
MATEMATIKA Vol 19, No 3 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Let  be a ring with identity and equipped with  involution " ". If  is element of  and has the Moore Penrose inverse, then  and  also have the  Moore Penrose inverse. This paper  found thatMoore Penrose inverse of is the same with the group inverse of   Also the Moore Penrose inverse of  is the same with the group inverse of Then the results of this  investigation  are  used to   discusse the characteristic of the Moore Penrose inverse of elements in  through the group inverse .
MATRIKS INVERS MOORE-PENROSE DALAM PENYELESAIAN SISTEM PERSAMAAN LINIER R., IDA M.; Udjiani, Titi
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we define and study about The Moore Penrose Inverse of any matrices under the rank. We apply our result to study of Solution Linear Equation Sistem  
INVERS MATRIKS MOORE PENROSE ATAS RING KOMUTATIF DENGAN ELEMEN SATUAN SRRM, Titi udjiani
MATEMATIKA Vol 7, No 1 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Jika A adalah matriks  dengan elemen Ring komutatif dengan elemen satuan yang berukuran mxn maka matriks invers  dari A yang disebut dengan matriks invers Moore Penrose dari A ditulis G(A) dapat diperoleh dengan memenuhi syarat perlu dan cukup agar G(A) merupakan invers Moore Penrose dari A
SIFAT-SIFAT DAN STRUKTUR ALJABAR MATRIKS PENYAJIAN DARI PERSEGI AJAIB Suryoto, Suryoto; Harjito, Harjito; Udjiani, Titi; Puspita, Nikken Prima
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Penelitian ini membahas sifat-sifat dasar dari persegi ajaib dan struktur aljabar dari himpunan semua matriks penyajian dari persegi ajaib berordo . Struktur aljabar yang dapat dibentuk dari himpunan matriks persegi ini antara lain berupa grup komutatif terhadap operasi penjumlahan matriks, modul atas daerah bilangan bulat , dan juga merupakan ruang vektor (atas lapangan rasional ℚ, lapangan real ℝ maupun lapangan kompleks ℂ). Diberikan pula nilai karakteristik dari matriks persegi ajaib salah satunya adalah konstanta ajaib dari matriks persegi ajaib yang bersangkutan.
Co-Authors Alhusna, Lathifatul Inayah Bagas, Rizky Muhammad Bayu Surarso Etna Vianita Harjito - Harjito Harjito Herdiana, Ratna Ikhtiyar, Zakaria Bani Irawanto, B Juwanda, Farikhin Muhammad Rafid Fadil Nikken Prima Puspita Nurhayati, Neri Puspita, N P Putri, Aina Latifa Riyana R., IDA M. Redemtus Heru Tjahjana Rizky Muhammad Bagas Shelly Sholatan Kamilah Solikhin Zaki Sunarsih Sunarsih Suryoto Suryoto Suryoto, S susilo hariyanto Susilo Hariyanto Usman, Carissa Devina Vianita, Etna Yuri C Sagala Zaenurrohman, Zaenurrohman