[1] J. Astola and L. Yaroslavsky, Advances in Signal Transforms:Theory and Applications, Hindawi Publishing Corporation, 2007.
[2] P. Chang and P. Piau, Haar wavelet matrices designation in numerical solution of ordinary differential equations, Int. J. Appl. Math., 38 (2008), 3-11.
[3] C.F. Chen and C.H. Hsiao, Haar wavelet method for solving lumped and distributed-parameter systems, IEE Proc., Control Theory Appl., 144 (1997), 87-94.
[4] C. Capilla, Application of the haar wavelet transform to detect microseismic signal arrivals, Journal of Applied Geophysics, 59 (2006), 36-46.
[5] M.D. Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl., 10 (1975), 285-290.
[6] I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, 1992.
[7] J. Eisenfeld, Block diagonalization and eigenvalues, Linear Algebra Appl., 15 (1976), 205-215.
[8] G. Hariharan and K. Kannan, An overview of haar wavelet method for solving differential and integral equations, World Applied Sciences Journal, 23(12) (2013), 01-14.
[9] M.H. Heydaria and F.M. Maalek Ghainia, Legendre wavelets method for numerical solution of time-fractional heat equation, Wavel. Linear Algebra, 1 (2014), 19-31.
[10] R.D. HILL, Linear transformations which preserve hermitian matrices, Linear Algebra Appl., 6 (1973), 257-262.
[11] C.H. Hsiao, Haar wavelet approach to linear stiff systems, Math. Comput. Simul., 64 (2004), 561-567.
[12] I. Aziz and S.U. Islam, New algorithms for the numerical solution of nonlinear fredholm and volterra integral equations using Haar wavelets, J. Comput. Appl. Math., 239 (2013), 333-345.
[13] R. Jiwari, A Haar wavelet quasilinearization approach for numerical simulation of burger's equation, Comput. Phys. Commun., 183 (2012), 2413-2423.
[14] R. Jiwari, A hybrid numerical scheme for the numerical solution of the Burger's Equation, Comput. Phys. Commun., 188 (2015), 59-67.
[15] K. Nouri, Application of shannon wavelet for solving boundary value problems of fractional differential equations, Wavel. Linear Algebra, 1 (2014), 33-42.
[16] U. Lepik, Numerical solution of evolution equations by the Haar wavelet method, Appl. Math. Comput., 185 (2007), 695-704.
[17] U. Lepik, Numerical solution of differential equations using Haar wavelets, Math. Comput. Simul., 68 (2005), 127-143.
[18] U. Lepik, H. Hein, Haar Wavelets With Applications, Springer International publishing, 2014.
[19] M. Marcus, Linear transformations on matrices, Journal of research of the notional bureau of standards-B. Mathematical sciences, 75B (1971), 107-113.
[20] J. K. Merikoski, P.H. George and S.H. Wolkowicz, Bounds for ratios of eigenvalues using traces, Linear Algebra Appl., 55 (1983), 105-124.
[21] A. Mohammed, M. Balarabe and A.T. Imam, Rhotrix linear transformation, Advances in Linear Algebra and Matrix Theory, 2 (2012), 43-47.
[22] R.K. Mallik, The inverse of a tridiagonal matrix, Linear Algebra Appl., 325 (2001), 109-139.
[23] U. Saeed and M. Rehman, Haar wavelet quasilinearization technique for fractional nonlinear differential equations, Appl. Math. Comput., 220 (2013), 630-648.
[24] S.C. Shiralashetti and A.B. Deshi, An effective Haar wavelet collocation method for the numerical solution of multiterm fractional differential equation, Nonlinear Dyn., 83 (2016), 293-303.
[25] S.C. Shiralashetti, A.B. Deshi and P.B. Mutalik Desai, Haar wavelet collocation method for the numerical solution of singular initial value problems, Ain Shams Engineering Journal, 7 (2016), 663-670.
[26] S.C. Shiralashetti, L.M. Angadi, A.B. Deshi and M.H. Kantli, Haar wavelet method for the numerical solution of Klein-Gordan equations, Asian-Eur. J. Math., 9(1), (2016) 1-14.
[27] S.C. Shiralashetti, M.H. Kantli and A.B. Deshi, Haar wavelet based numerical solution of nonlinear differential equations arising in fluid dynamics, International Journal of Computational Materials Science and Engineering, 5(2) (2016), 1-13.
[28] S.C. Shiralashetti, L.M. Angadi, A.B. Deshi and M.H. Kantli, Haar wavelet method for the numerical solution of Benjamin-Bona-Mahony equations, Journal of Information and Computing Sciences, 11(2) (2016), 136-145.
[29] S.C. Shiralashetti, L.M. Angadi, M.H. Kantli and A.B. Deshi, Numerical solution of parabolic partial differential equations using adaptive gird Haar wavelet collocation method, Asian-Eur. J. Math., 10(1) (2017), 1-11.
[30] S.C. Shiralashetti, A.B. Deshi, S.S. Naregal and B. Veeresh, Wavelet series solutions of the nonlinear emden-flower type equations, International Journal of Scientific and Innovative Mathematical Research, 3(2) (2015), 558-567.
[31] S.C. Shiralashetti, P.B. Mutalik Desai and A. B. Deshi, A comparative study of finite element method and Haar wavelet collocation method for the numerical solution of nonlinear ordinary differential equations, International Journal of Modern Mathematical Sciences, 13(3) (2015), 228-250.
[32] S.U. Islam, I. Aziz, A. Fhaid and A. Shah, A numerical assessment of parabolic partial differential equations using Haar and legendre wavelets, Appl. Math. Modelling, 37 (2013), 9455-9481.
[33] S.U. Islam, I. Aziz, and A.S. Al-Fhaid, An improved method based on Haar wavelets for numerical solution of nonlinear integral and Integro-differential equations of first and higher orders, J. Comput. Appl. Math., 260 (2014), 449-469.
[34] G. Strang, Linear Algebra and Its Applications, Cengage Learning, (2005).
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