is a function from natural numbers to vectors. Correspondingly, is the value of that function at n - 1.
Hello,
I require some help in understanding whats going on here. THanks.
I dont understand what is the use of U_{n-1 ? what is meant by (n-1) please explain. }thanks.
The standard form of linear recurrence relation in vector/matrix form is Un=AU_{n-1, }where A is kxk matrix.
U_{n}=(x_{n} ;y_{n} ;z_{n)}
_{and hence obtain a paticular solution }
_{Un=AUn-1}
Yes. But ultimately a recurrence relation is an equation containing a function U from natural numbers to something (vectors in this case). It relates the value of U at n to the values of U at arguments smaller than n.
You may read the Wikipedia article about recurrence relations.