Problem 3094. Hankelize a matrix

Created by Peng Liu

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Similar to</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42501-toeplitize-a-matrix\"><w:r><w:t>Problem 42501. Toeplitize a matrix</w:t></w:r></w:hyperlink><w:r><w:t>, let's consider Hankelization of a matrix.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given an input matrix A, convert it to a Hankel matrix B by replacing each skew-diagonal of A with its mean. For example,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Input</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   A = [3     7    10     2\n\n        3     5     1     2\n\n        6     3     2     7]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Output:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[   B = [3     5     7     2 \n\n        5     7     2     2\n\n        7     2     2     7]]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

102 Solutions
57 Solvers

Last Solution submitted on Jan 21, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers57

Problem Tags

hankel matrix toeplitz matrix

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 3094. Hankelize a matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers57

Suggested Problems

More from this Author30

Problem Tags

Community Treasure Hunt

Problem 3094. Hankelize a matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers57

Suggested Problems

More from this Author30

Problem Tags

Community Treasure Hunt

Players