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- W4386774047 abstract "This chapter explains the eigenvalue problem or the determination of the eigenvalues and eigenvectors of a square matrix, which is important in many branches of the physical sciences and engineering. The chapter discusses the properties of eigenvalues and eigenvectors. It has examples showing the normalization of eigenvectors, orthogonalization of vectors, and the Hückel theory of cyclobutadiene. The chapter also tackles matrix diagonalization—touching on the topics of similarity and orthogonal transformations. It further looks at the reduction of quadratic forms to canonical forms. Lastly, it provides a summary of the complex matrices that are important in advanced group theory and in quantum mechanics." @default.
- W4386774047 created "2023-09-16" @default.
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- W4386774047 date "2008-01-31" @default.
- W4386774047 modified "2023-09-27" @default.
- W4386774047 title "The matrix eigenvalue problem" @default.
- W4386774047 doi "https://doi.org/10.1093/hesc/9780199205356.003.0019" @default.
- W4386774047 hasPublicationYear "2008" @default.
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