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Computation of Generalized Matrix Inverses and Applications

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This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra.

The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with special reference to the calculation of {i,j,...,k} inverse and the Moore–Penrose inverse. Then, the results of LDL* decomposition of the full rank polynomial matrix are introduced, along with numerical examples. Methods for calculating the Moore–Penrose’s inverse of rational matrix are presented, which are based on LDL* and QDR decompositions of the matrix. A method for calculating the A(2)T;S inverse using LDL* decomposition using methods is derived as well as the symbolic calculation of A(2)T;S inverses using QDR factorization.

The text then offers several ways on how the introduced theoretical concepts can be applied in restoring blurred images and linear regression methods, along with the well-known application in linear systems. The book also explains how the computation of generalized inverses of matrices with constant values is performed. It covers several methods, such as methods based on full-rank factorization, Leverrier–Faddeev method, method of Zhukovski, and variations of the partitioning method.

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Ketersediaan

20022743

512.9 STA c c.1

Perpustakaan Pusat ITERA (Rak kelas 500)

Tersedia

Informasi Detail

Judul Seri

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No. Panggil

512.9 STA c

Penerbit

Oakville : Apple Academic Press., 2018

Deskripsi Fisik

xii + 280 hlm.

Bahasa

Inggris

ISBN/ISSN

978-1-77188-622-2

Klasifikasi

512.9

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

Matematika

Info Detail Spesifik

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Pernyataan Tanggungjawab

Ivan Stanimirovic

Versi lain/terkait

Lampiran Berkas

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