Akar Matriks Nonnegatif

IDA NUR FATIMAH, Dr. Diah Junia Eksi Palupi, MS.

2017 | Skripsi | S1 MATEMATIKA

Akar matriks nonnegatif dari suatu matriks nonnegatif A adalah matriks nonnegatif B yang memenuhi B^2 = A. Pada skripsi ini akan dibahas mengenai eksistensi dari akar matriks nonnegatif berukuran 2x2, akar matriks nonnegatif berukuran nxn dan hubungannya dengan akar digraf; serta akar matriks nonnegatif pada matriks nonnegatif simetris.

The nonnegative square roots of a nonnegative matrix A is nonnegative matrix B which satisfies B^2 = A. In this thesis, we will examine the existence of nonnegative square roots for 2-by-2 nonnegative matrices, the relation between the nonnegative square roots for n-by-n nonnegative matrices and the square roots of digraph, and the nonnegative square roots of symmetric nonegative matrices.

Kata Kunci : akar matriks, matriks nonnegatif, akar digraf