Consistency check method applied to matrix
A test method and consistency technology, applied in the field of matrix consistency test, can solve problems such as non-commutability, and achieve the effects of reducing test costs, accurate test results, and simple test steps
Inactive Publication Date: 2014-05-07
江雪连
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And Cayley also noticed that matrix multiplication is combinable, but generally not interchangeable, and m*n matrices can only be right-multiplied by n*k matrices
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[0017] A kind of consistency check method that the present invention is applied to matrix, its specific steps are as follows:
[0018] (a) Calculate the product of each row element of the judgment matrix;
[0019] (b) Calculate M i the nth root of
[0020] (c) perform standardization;
[0021] (d) calculate the maximum characteristic root of the judgment matrix;
[0022] (e) Consistency testing, including: calculating the consistency index, calculating the random consistency index of the judgment matrix, and calculating the random consistency ratio.
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The invention discloses a consistency check method applied to a matrix. The consistency check method applied to the matrix comprises the steps of (a) calculating and judging product of elements of each row of the matrix, (b) calculating the nth root of Mi, (c) carrying out standard processing, (d) calculating and judging the maximum characteristic root of the matrix, and (e) carrying out consistency check, wherein the consistency check comprises the steps of calculating consistency indexes, calculating and judging random consistency indexes of the matrix, and calculating the random consistency rate. According to the consistency check method, check can be carried out on the consistency of the matrix fast, check steps are simple, check results are accurate, and check cost is lowered greatly.
Description
technical field [0001] The invention relates to a consistency checking method applied to a matrix. Background technique [0002] A matrix refers to a two-dimensional data table arranged vertically and horizontally. It originated from a square matrix composed of coefficients and constants of a system of equations. This concept was first proposed by Kelly, a British mathematician in the 19th century. The matrix concept also has many applications in production practice, such as the matrix diagram method and the matrix card system (proposed by Shenzhen Netland) to protect personal accounts, etc. The original meaning of "matrix" is also often applied. For example, the analog device responsible for switching and controlling the front-end video source and control line in the monitoring system is also called matrix. [0003] The study of matrix has a long history, and Latin squares and magic squares have been studied in prehistoric times. [0004] As a tool for solving linear equ...
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IPC IPC(8): G06F17/16
Inventor 江雪连
Owner 江雪连
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