用带位移的QR方法计算[tex=8.143x3.643]/YGKh0J0WJuyVV8Zsv9KT3buOo8AqSw0KtqXsw+2Bh+f7fG+PSV3VBm7PUp6NjY8q5GXsBvsbSN0M30byaVT7FxNtMpZV+PqkXSkSi//MJKsgHHlai6YFEppKPnig8UR[/tex]的全部特征值。
分析：熟练掌握带原点位移的QR方法即可得出正确结果。解：记[tex=3.214x1.286]g2X+C0ulL/4ZAz8sAGkqGg==[/tex]，取[tex=3.786x1.286]zEwfUBwfyRcyqhO7uYqZFBKas1HFz1orslxvIL/eToI=[/tex]作为平移因子来计算[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]的全部特征值。[tex=2.714x1.286]XhVVHJ8D8XHHeNJGA9LW3Q==[/tex][tex=22.929x5.5]SMCiZCjCLMG8LLJWa9iOzJUXmXarVy9G6HzvYuJrMMo8SOB/Ml5HFi0gVXAdxf3OrL0YMHrfE8O0GKRkH6U5sTjUVtgWIrZRw9HoRXh8Qqx4UUyD/DGbzMMeHDhi3Y85bElryO5y+/Z1JVRH5CvVfSySLdGhp4+/CLf5xhje04F/D9zrYahSXufkh2Lu0WHc4cJMtkU0DM3+LECftVAhxm4OCBGwt05EbdRDiaStQ4CabCs+vVO3ibmZ272IO9GWAsGe7nqmjT5wP8aoKvoG98xUX3qc1oCPiNJJ9OEiiPDnxAoMS5OxZo+cM86YsbkU[/tex][tex=20.857x5.5]qeiYnKXLEhyhuGRg8yLtrxRUl/z3yWMS7mhoMlxC4qj/i095X9rP0CZQHOvobp7oq+AuAikrW9TpWp6wf0TO0rTgZ8/RORewbmnlDdHmm+ZoW11SyQYJw+j2y0GcRBd8uDQW2DyDyzvsrIILHytnwZoZbYOLtigHH7quccK7A1aLoiaSaiRZ9FfMuETM7hoZBTotDUSJgCEOli9/nSsR1CBiWh2izCHHKPX8WJrMDwioMJPIsba5r7Aqa6ZbS/9s79BnUv8S3/kfXtgAd12KTCUB1QMgB1HKAjUlGfcxJ2CY3Rks6+wF5dsJKxj+fJKa[/tex][tex=7.357x1.286]RCTy7Id5aSIa991kw07EI6vYB2Mlpe+1jnA7dYdstFg=[/tex][tex=21.357x5.5]qeiYnKXLEhyhuGRg8yLtr8mDphyE+mksZjwHl7d6yCvtLd49V74U7weznjbmeO4NwC5QPP2oON+8FwJUN8kDiFF89ynsDUXtpzUxAc0BMLEEZj06eFxCBAoDUhQYuF/dODR0T4YONr8JDQoT4PLrVi9rFmQJeJ04lPeactWqTorfBt4MfILFjASxQK3oaGlex6qNztGeZvaVVpPuG665Ov4ZysmaOVHGNv7HBi1UTMBqMzXxhVAmMRqKM+SavBmr6KITVRmU/dJv3atuVjTy7YGak1ibprx4jI3G5p1KgKgtAsgLbHDTgGawoj3oUeml[/tex][tex=22.143x5.5]qeiYnKXLEhyhuGRg8yLtr1UDTG/A023A9jAtBEEIh9AF3kXJ2+WrFgV2u5LXkebSEOJ0iIs/eXXzJnuJdXuEBikT7t0QXNjzW9RT3oabMPIjz1Ql6u+6X7jitcTGeMDhcBzcWghRDC+boWvhAqSpxQBMLmkx7uHtNpF0KOcPjcsogTKs19337T4sd3ycAJ+q1kDDLqqz7soiFuDnZkrJjvr5oBJqKxp/olECyWUkRFuoEbnA51rOkjj9InxwBbLXr9yNbZkuNxgBu3YYriBwfPxbwqtQv4zK/XXhRIi+0J4IehNI8yjhpLZVzkLXRcy4EaYH4gLCIDEy0Hb1W6yElw==[/tex][tex=7.357x1.286]E2JubvqwsRvMqnRqOg0Lkxk6jm7J2EYnCr+W9PYYZ3k=[/tex][tex=22.143x5.357]qeiYnKXLEhyhuGRg8yLtr8mDphyE+mksZjwHl7d6yCvtLd49V74U7weznjbmeO4N8Erqu9jJ4NQdj6lUdBBF3T/hhTz0lNIYVBNkAaqtwDIPCX9mtABsRwSQb50j7RFOjDivxzO+r5J7k8FbGlUDQP8MZwWMbFNY/43qWFMjCF0Hx52RHRqVpx1qVosX/XZQ/hYZJzelE3OQlkBuHAoCoo5CaQHtwsaIq4+g+62blaDSSBkK9A4M8ADqlhsb5jZFBrEfUxMnmDjQ6J33I2A6Ptf0KFiaDg2T2BOIxsXC0p1TWHv+p4ag+czLnK1n9jWk[/tex][tex=22.143x5.5]SMCiZCjCLMG8LLJWa9iOzH10EaQBllTMjiz3B52llxMzLky1uYoef30KH83jNxUwsqKh7atkNxCo8SOqzbX0uUNhYEr7g8V+zXBnXANOX+xrlPAQ3dxUTRjz2IzjO0Le5ibi5EfYyAQ1SsTvxVkRncDiSf7sqxNE1f1FbSAeTB6cMwl2gQlJnS1OVlYsMI2gXzxvkNCVHj188Dp2akAn2HIPHDRpLNGaKfKEzRsGrrquwlANCVIykj5pJYY2RVCT69TiE7yEDVugXLxYZPbARIfAzA0QIGwWpOnxMsuL7U8=[/tex]故[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]有一个特征值[tex=7.0x1.286]DUI6nq+H8ynBqr+tRn/eedEZFkT9sF7WxoYJ8dBplyo=[/tex]。对[tex=1.143x1.286]fyG6tu8X0zfbKXbeWHtr1A==[/tex]的子矩阵[tex=16.5x2.786]s+VMapbpEbRVr27lTfLGIkZxNRHFUG50NipFgpDRyrvBzDICtaszbyKgen5L7Pccl6OJyKZpzZrR01b6i4BF+GxeqQ1jMpqCGBxhhtNvhL52mycPhwUnqVhMXEXAvW31wbqPotesgHAloR/DeltDPBoEoWFyNoypuVN3aVnh1zQ=[/tex]继续进行变换，取[tex=7.357x1.286]ntBtz/xpZlyEpNzJft4IKSRijD7BISpkSioqdlxR7EU=[/tex]，得[tex=22.571x2.786]CEzCaLoaT6i+tfMGrrc1vzyK5t9K4CY/uYalg9ZH3Mp3jl01FrSJoDPtlp5xjU8idNamn4QAQkF7JG7+P385mHfcbFmF1DQwGWCFdM3Gs1n+yn151ADtuBD8ViMrMjpe9+GIG9KkLpHm/nkPL3WpcrOXvsHEQMIAA3xuha2YKCygtbzDoHgIv7YmFVbpbQ38AXZ9Ryyx1alVFDv4sLpxvA==[/tex][tex=21.929x2.786]s+VMapbpEbRVr27lTfLGIlB8/oZQvVPSdrqR1Z/4v+z7uJmA3xyLxSdiqLz1aAhimym8GLWy746eZ14gn6dqvAl6FnOImk96Kzc0vYSm49IslWqV5bFfZurPiZNM9BOa7con0NMGEIYxEiZc2+WDYuE4SoZTAX10Xw5COrbIdZFeGQH6gnH9Z5FEgphbjz94bY9vn1lqjMBGt/d1RMyKDw==[/tex]因此[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]的另两个近似特征值分别为-2.372281308 和1.998760145。实际上[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]的特征值是[tex=4.5x2.0]KCoAqqcyTO2orVWtRl0UO4PaPyyKHhbj13ako+H91CqGwgUaDG/tkE4Kh548+Mfe[/tex]和2。只要再对[tex=1.143x1.286]s+VMapbpEbRVr27lTfLGIlwWH8VL/kunTuTvO6jNsVk=[/tex]变换一次即可得到准确值[tex=3.857x2.214]lKmDV2sfQHOiX8xNu1sgDrPAeVkJXHu+E/jqMQ7Yc61w2iFFroQ606//DO5VhCqU[/tex]和2。
举一反三
- 用带位移的QR方法计算[tex=8.143x3.643]/YGKh0J0WJuyVV8Zsv9KT3buOo8AqSw0KtqXsw+2Bh+f7fG+PSV3VBm7PUp6NjY8q5GXsBvsbSN0M30byaVT7FxNtMpZV+PqkXSkSi//MJKsgHHlai6YFEppKPnig8UR[/tex]的全部特征值。
- >>>x= [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9]>>>print(x.sort()) 语句运行结果正确的是( )。 A: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] B: [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9] C: [10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0] D: ['2', '4', '0', '6', '10', '7', '8', '3', '9', '1', '5']
- set1 = {x for x in range(10)} print(set1) 以上代码的运行结果为？ A: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10} C: {1, 2, 3, 4, 5, 6, 7, 8, 9} D: {1, 2, 3, 4, 5, 6, 7, 8, 9,10}
- 【单选题】rev(c(1,3,2,6,7,8,8,1,1,0))的运行结果 ? A. [1] 0 1 1 1 2 3 6 7 8 8 B. [1] 1 3 2 6 7 8 8 1 1 0 C. [1] 0 1 1 8 8 7 6 2 3 1 D. [1] 8 8 7 6 3 2 1 1 1 0
- 【单选题】请用地点定桩法在4分钟内记忆数字。 4 0 1 3 6 3 5 1 9 8 8 9 7 2 9 3 0 9 5 3 1 7 7 5 2 3 3 0 5 0 1 4 1 3 8 3 5 7 9 7 (5.0分) A. 已背 B. 未背
内容
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