Problem 42501. Toeplitize 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/3094-hankelize-a-matrix\"><w:r><w:t>Problem 3094. Hankelize a matrix</w:t></w:r></w:hyperlink><w:r><w:t>, now consider Toeplitization 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 Toeplitz matrix B by replacing the diagonal of A with the mean of the respective diagonal. 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 = [6     3     2     7\n\n        3     5     1     2\n\n        3     7    10     2]]]></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 = [7     2     2     7 \n\n        5     7     2     2\n\n        3     5     7     2]]]></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

179 Solutions
67 Solvers

Last Solution submitted on Jul 17, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers67

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 42501. Toeplitize a matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers67

Suggested Problems

More from this Author30

Problem Tags

Community Treasure Hunt

Problem 42501. Toeplitize a matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers67

Suggested Problems

More from this Author30

Problem Tags

Community Treasure Hunt

Players