Study on Vector Operations Transform into Matrix Operations | Chapter 11 | Current Topics on Mathematics and Computer Science Vol. 6

 In this study, a valuable approach called "Vector operation Transforms into Matrix operation" (VTM) is devised to make vector algebraic and differential operations easier to manipulate. In the subject of vector analysis, an efficient technique is created to simplify computations. By converting vector algebraic and differential operations into matrix operations, the evaluation of these operations becomes more easy and straightforward. When vector operations involve multiple coordinate bases, the matrix operations are extremely beneficial.

Author (S) Details

Feng Cheng Chang
Allwave Corporation 3860 Del Amo Blvd, Torrance, California 90503, USA.

View Book :- https://stm.bookpi.org/CTMCS-V6/article/view/2591

Study on Matrix Inverse as by-Product of Determinant | Chapter 10 | Theory and Practice of Mathematics and Computer Science Vol. 7

The determinant of a given square matrix is obtained by iterative matrix order condensation as a product of pivot elements evaluated. As a by-product, it follows that the inverse of this matrix is then evaluated through the extension of the iterative matrix order. Only simple elementary arithmetical operations without any high mathematical process are involved in the fast and straightforward basic iterative method. Remarkably, without failing the inverse of any square matrix, the revised optimal iterative method would compute within minutes, whether real or complex, singular or non-singular, and interestingly enough even for size as big as 999x999. If the calculation of small size inverse matrices is feasible, the manually extended iteration procedure is often generated to shorten the iteration steps.

Author (s) Details

Feng Cheng Chang
Allwave Corporation, Torrance, California, USA.

View Book :- https://stm.bookpi.org/TPMCS-V7/issue/view/18