Construction of Google Matrix G
Then the final Google matrix G can be expressed via S as:
By the construction the sum of all non-negative elements inside each matrix column is equal to unity. The numerical coefficient is known as a damping factor.
Usually S is a sparse matrix and for modern directed networks it has only about ten nonzero elements in a line or column, thus only about 10N multiplications are needed to multiply a vector by matrix G.
Read more about this topic: Google Matrix
Famous quotes containing the words construction of, construction and/or matrix:
“The construction of life is at present in the power of facts far more than convictions.”
—Walter Benjamin (1892–1940)
“There’s no art
To find the mind’s construction in the face.”
—William Shakespeare (1564–1616)
“In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.”
—Salvador Minuchin (20th century)