Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

This is a preview. Log in through your library . Abstract In Part I of this paper [SIAM J. Numer. Anal., 25 (1988), pp. 1055-1073], a Riccati transformation method for solving linear boundary value ...

The method includes: establishing the control equations ... replacing the coefficient matrix of the linear equations with the first matrix and iteratively solving to obtain an estimated solution for ...