3 problems
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The conjecture linking symmetric Ritz values to the discrete Lanczos measure
Measure-symmetry conjecture. The symmetry of the Ritz values within Lanczos iterations is intricately linked to the underlying discrete measure function .
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The nonbreakdown conjecture for star-Lanczos tridiagonalization
Let be the coefficient matrix of the system of ordinary differential equations in, with entries composed of functions of . Let…
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Conjecture on the spectral origin of the different Lanczos convergence rates
Spectral convergence conjecture. The difference in convergence rates between the Lanczos approach applied to the Hermitian TDA Hamiltonian and to is due to di…