... =jαjxjb =jβjxj(11 .7. 2)Then (11 .7. 1) givesjαj(λj− τ)xj=jβjxj(11 .7. 3)so thatαj=βjλj− τ(11 .7. 4)andy =jβjxjλj− τ(11 .7. 5)If τ is close to λn, ... HopkinsUniversity Press), 7. 5.Smith, B.T., et al. 1 976 ,Matrix Eigensystem Routines — EISPACK Guide, 2nd ed., vol. 6 ofLecture Notes in Computer Science (New York: Springer-Verlag). [2]11 .7 Improving Eigenvalues ... or call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).CITED REFERENCES AND FURTHER READING:Wilkinson, J.H., and Reinsch, C. 1 971 ,Linear Algebra,vol.IIofHandbook...