Matrix Theory

This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of tw...

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Jezik:engleski
Izdano: IntechOpen 2023
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collection Directory of Open Access Books
description This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties.
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id doab-20.500.12854ir-129885
institution Directory of Open Access Books
language eng
publishDate 2023
publishDateRange 2023
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spelling doab-20.500.12854ir-1298852024-04-04T14:41:06Z Matrix Theory Yasser, Hassan A. 2000 ams subject classifications: 15a15, exact finite differences derivative, quaternion matrix, eigenvalues, moore-penrose inverse thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties. 2023-12-01T16:21:04Z 2023-12-01T16:21:04Z 2018 book ONIX_20231201_9781789234671_994 9781789234671 9781789234664 9781838815271 https://directory.doabooks.org/handle/20.500.12854/129885 eng image/jpeg n/a https://www.intechopen.com/books/6526 https://mts.intechopen.com/storage/books/6526/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.71169 10.5772/intechopen.71169 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781789234671 9781789234664 9781838815271 IntechOpen 96 open access
spellingShingle 2000 ams subject classifications: 15a15, exact finite differences derivative, quaternion matrix, eigenvalues, moore-penrose inverse
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
Matrix Theory
title Matrix Theory
title_full Matrix Theory
title_fullStr Matrix Theory
title_full_unstemmed Matrix Theory
title_short Matrix Theory
title_sort matrix theory
topic 2000 ams subject classifications: 15a15, exact finite differences derivative, quaternion matrix, eigenvalues, moore-penrose inverse
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
topic_facet 2000 ams subject classifications: 15a15, exact finite differences derivative, quaternion matrix, eigenvalues, moore-penrose inverse
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
url ONIX_20231201_9781789234671_994