Computations for a vibrating system diagonalize the variance
The transformations to diagonalize potential energy matrices for coupled harmonic oscillators will also diagonalize the variance when written in matrix form. After a brief review of a geometrical interpretation of the variance, the transformations are described and an example is given.
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| Format: | Article |
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Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171295000524 |
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doaj-57e62c416c8842aa817d6d456039f3ba2020-11-24T23:50:21ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118241141510.1155/S0161171295000524Computations for a vibrating system diagonalize the varianceJ. N. Boyd0P. N. Raychowdhury1Department of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284-2014, Virginia, USADepartment of Mathematical Sciences, Virginia Commonwealth University, Richmond 23284-2014, Virginia, USAThe transformations to diagonalize potential energy matrices for coupled harmonic oscillators will also diagonalize the variance when written in matrix form. After a brief review of a geometrical interpretation of the variance, the transformations are described and an example is given.http://dx.doi.org/10.1155/S0161171295000524varianceorthogonal and unitary transformationscoupled oscillatorselastic potential energy. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J. N. Boyd P. N. Raychowdhury |
| spellingShingle |
J. N. Boyd P. N. Raychowdhury Computations for a vibrating system diagonalize the variance International Journal of Mathematics and Mathematical Sciences variance orthogonal and unitary transformations coupled oscillators elastic potential energy. |
| author_facet |
J. N. Boyd P. N. Raychowdhury |
| author_sort |
J. N. Boyd |
| title |
Computations for a vibrating system diagonalize the variance |
| title_short |
Computations for a vibrating system diagonalize the variance |
| title_full |
Computations for a vibrating system diagonalize the variance |
| title_fullStr |
Computations for a vibrating system diagonalize the variance |
| title_full_unstemmed |
Computations for a vibrating system diagonalize the variance |
| title_sort |
computations for a vibrating system diagonalize the variance |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1995-01-01 |
| description |
The transformations to diagonalize potential energy matrices for coupled harmonic
oscillators will also diagonalize the variance when written in matrix form. After a brief review of
a geometrical interpretation of the variance, the transformations are described and an example is
given. |
| topic |
variance orthogonal and unitary transformations coupled oscillators elastic potential energy. |
| url |
http://dx.doi.org/10.1155/S0161171295000524 |
| work_keys_str_mv |
AT jnboyd computationsforavibratingsystemdiagonalizethevariance AT pnraychowdhury computationsforavibratingsystemdiagonalizethevariance |
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1725479111041744896 |