Article history: Received 30 October 2006 Received in revised form 25 March 2007 Accepted 26 March 2007 There is uncertainty about the extent and distribution of grasslands following the C3 and C4 photosynthetic pathways. Since these grasses have an asynchronous seasonal profile it should be possible to estimate and map the C3–C4 composition of grasslands from multitemporal remote sensing image...

Ruhe’s rational Krylov method is a popular tool for approximating eigenvalues of a given matrix, though its convergence behavior is far from being fully understood. Under fairly general assumptions we characterize in an asymptotic sense which eigenvalues of a Hermitian matrix are approximated by rational Ritz values and how fast this approximation takes place. Our main tool is a constrained ext...

Abstract. We investigate several generalizations of the harmonic and refined Rayleigh–Ritz method. These may be practical when one is interested in eigenvalues close to one of two targets (for instance, when the eigenproblem has Hamiltonian structure such that eigenvalues come in pairs or quadruples), or in rightmost eigenvalues close to (for instance) the imaginary axis. Our goal is to develop...

J . K A R L C . N I E M A N , † R O N A L D C . S I M S , * , † J U D I T H L . S I M S , † D A R W I N L . S O R E N S E N , † J O A N E . M C L E A N , † A N D J A M E S A . R I C E ‡ Department of Civil and Environmental Engineering and Utah Water Research Laboratory, Utah State University, Logan, Utah 84322, and Department of Chemistry and Biochemistry, South Dakota State University, Brooki...

In this investigation Rayleigh-Ritz variational method has been applied to determine the least natural frequency coefficient for the title problem. Classical plate theory assumptions have been used to calculate strain energy and kinetic energy. Coordinate functions are combination of polynomials which satisfy boundary conditions at the outer boundary and trigonometric terms. In the second part ...