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
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх