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A Matlab package implementing this algorithm is available at http://www.public.asu.edu/~jye02/Software/CCA/. The sparse CCA presented in [12] where the sparse canonical projectors are computed by solving two ℓ 1-minimization problems by using the Linearized Bregman iterative method [19].

The results prove that the error made by using the linearized system instead of the non-linear one is small.

The linearization method is applied to approximate the nonlinear system by using the linearized model [36, 39].

In Section 2, the local stability of equilibria for system (1.6) is discussed by using the linearized method.

An analytical method for determining natural frequencies and mode shapes of torsional vibration of suspension bridges is developed by using the linearized deflection theory.

The simplest and most common way to do so is by using the linearized shallow water wave equations, based on assumptions of inviscid, incompressible water; small amplitude waves; and horizontal wavelengths greater than the ocean depth.

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By using the exactly linearized measurement equations instead of the original nonlinear ones, the existing mixed integer nonlinear programming formulation for RSE is converted to a MILP problem.

The non-linear quantized observation system is linearized statistically by using the generalized statistical linearization technique, with the introduction of a new type of error criterion.

We show that the Burgers equation on a time-space scale can be linearized by using the Cole-Hopf transformation.

For non-linear flutter analysis structural non-linearity is represented by an asymmetric bilinear spring and is linearized by using the describing function method.

In this paper, we have obtained a type of the quintic B-spline collocation procedure in which a nonlinear term in the equation is linearized by using the form introduced by Rubin and Graves [36] to solve the MRLW equation.

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