Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 16
... inverse it is nonsingular , and ( 2 ) if m is nonsingular , it has a unique inverse . Thus , suppose that there ... Inverses Eigenvalue Problems Inverses by Iteration.
... inverse it is nonsingular , and ( 2 ) if m is nonsingular , it has a unique inverse . Thus , suppose that there ... Inverses Eigenvalue Problems Inverses by Iteration.
Página 101
... inverse transformation is given by a matrix T : or f ( x ) = ft ( x , y ) F ( y ) dy f = TF Substitution of ( 8.18 ) into ( 8.19 ) yields f ( x ) = [ [ ft ( x , y ) s ( v , x ' ) dy ] f ( x ) dx ( 8.18 ) ( 8.18a ) ( 8.19 ) ( 8.19a ) ...
... inverse transformation is given by a matrix T : or f ( x ) = ft ( x , y ) F ( y ) dy f = TF Substitution of ( 8.18 ) into ( 8.19 ) yields f ( x ) = [ [ ft ( x , y ) s ( v , x ' ) dy ] f ( x ) dx ( 8.18 ) ( 8.18a ) ( 8.19 ) ( 8.19a ) ...
Página 228
... inverse the eigenvalue problem ( 16.1 ) may be replaced by the problem L ̄1y = λ ̄1y -1 ( 16.8 ) Clearly , the largest eigenvalue of L - 1 to which the ... Inverses by Iteration The problem of finding the inverse 228 APPROXIMATE METHODS.
... inverse the eigenvalue problem ( 16.1 ) may be replaced by the problem L ̄1y = λ ̄1y -1 ( 16.8 ) Clearly , the largest eigenvalue of L - 1 to which the ... Inverses by Iteration The problem of finding the inverse 228 APPROXIMATE METHODS.
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх