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<title>计算特征值的误差界限</title>
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<h4><a name="SECTION001472030000000000000"></a>
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计算特征值的误差界限
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我们有
<div class="math-display" id="ineq:pdp-err-1-ev">\chi((\widetilde\alpha,\widetilde\beta),(\alpha,\beta))\le\frac {\Vert r\Vert _2}{\gamma(A,B)} \tag{15.42}</div>
对于<span class="math-inline">\{A,B\}</span>的某个特征值<span class="math-inline">(\alpha,\beta)</span>。为了利用这一界限，我们需要对<span class="math-inline">\gamma(A,B)</span>进行估计。这可以通过首先找到如上所述的<span class="math-inline">B_{\phi}</span>，然后估计其最小特征值来实现。
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<address>
Susan Blackford
2000-11-20
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