proposition 16.79 The Ritz linear system
open in the book ·
parts/02-mathematical-methods/14-calculus-of-variations.tex:2493
· p. 659
Rests on
-
depends_on
corollary 16.78
The variational bound
¶
-
depends_on
equation 16.71
eq:calcvar-rayleigh-identity
¶
- proves proof ch:14-calculus-of-variations@prooflink-3 ¶
- depends_on equation 16.67 eq:calcvar-rayleigh-min ¶
- proves proof ch:14-calculus-of-variations@proof-37 ¶
-
depends_on
equation 16.71
eq:calcvar-rayleigh-identity
¶
- depends_on equation 16.65 eq:calcvar-rayleigh-quotient ¶
- proves proof ch:14-calculus-of-variations@proof-38 ¶
Supports
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Neighborhood
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | The variational bound | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2512 |
depends_on |
→ | eq:calcvar-rayleigh-quotient | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2512 |
proves |
← | ch:14-calculus-of-variations@proof-38 | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2515 |