Eigenvalues and Musical Instruments Export

@misc{citeulike:1217919, abstract = {Most musical instruments are built from physical systems that oscillate at certain natural frequencies. The frequencies are the imaginary parts of the eigenvalues of a linear operator, and the decay rates are the negatives of the real parts, so it ought to be possible to give an approximate idea of the sound of a musical instrument by a single plot of points in the complex plane. Nevertheless, the authors are unaware of any such picture that has ever appeared in print. This paper attempts to...}, author = {Howle, V. E. and Trefethen, Lloyd N.}, citeulike-article-id = {1217919}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.1550}, comment = {Required reading for UIUC NA seminar, 2007-04-17}, keywords = {linearalgebra, scientificcomputing}, posted-at = {2007-04-09 14:55:47}, priority = {0}, title = {Eigenvalues and Musical Instruments}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.1550} }

TY - GEN ID - citeulike:1217919 L3 - citeulike-article-id:1217919 N2 - Most musical instruments are built from physical systems that oscillate at certain natural frequencies. The frequencies are the imaginary parts of the eigenvalues of a linear operator, and the decay rates are the negatives of the real parts, so it ought to be possible to give an approximate idea of the sound of a musical instrument by a single plot of points in the complex plane. Nevertheless, the authors are unaware of any such picture that has ever appeared in print. This paper attempts to... TI - Eigenvalues and Musical Instruments KW - linearalgebra KW - scientificcomputing N1 - Required reading for UIUC NA seminar, 2007-04-17 AU - Howle, VE AU - Trefethen, Lloyd UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.1550 ER -