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By Alston S. Householder

Compatible for complex undergraduates and graduate scholars, this article offers chosen features of matrix thought which are most dear in constructing computational equipment for fixing linear equations and discovering attribute roots. subject matters contain norms, bounds and convergence; localization theorems and different inequalities; and techniques of fixing platforms of linear equations. 1964 version.

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48–56. Zeddies DG, Siegel JH (2004) A biophysical model of an inner-hair cell. J Acoust Soc Am 116:426–441. Zhang X, Carney LH (2005) Analysis of models for the synapse between the inner hair cell and the auditory nerve. J Acoust Soc Am 118:1540–1553. Zhang X, Heinz MG, Bruce IC, Carney LH (2001) A phenomenological model for the responses of auditory-nerve fibers: I. Nonlinear tuning with compression and suppression. J Acoust Soc Am 109:648–670. Zwislocki J (1962) Analysis of the middle-ear function.

Individual component stages are always compromises in terms of simulation accuracy. Part of the problem is the need to compute the result in a reasonable amount of time but it is also the case that researchers have not yet finally agreed on the details of any one processing stage. Models will need to change as new data and new insights are published. Nevertheless, models are already good enough to use them in a range of applications. The nonlinear nature of the auditory periphery has many unexpected consequences, and it is important that the user of any model should appreciate from the outset that a computer model of the auditory periphery is not simply a biological way to generate a spectral analysis of the input sound.

J Acoust Soc Am 105:2384–2391. Cheatham MA, Dallos P (2001) Inner hair cell response patterns: implications for low-frequency hearing. J Acoust Soc Am 110:2034–2044. Cooper NP (1996) Two-tone suppression in cochlear mechanics. J Acoust Soc Am 99:3087–3098. Cooper NP (2004) Compression in the peripheral auditory system. In: Bacon SP, Fay RR, Popper AN (eds), Compression: From Cochlea to Cochlear Implants. New York: Springer, pp. 19–61. Dallos P (1984) Some electrical circuit properties of the organ of Corti: II.

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