Problem 1017. Lagrange Interpolation

Created by Robert Canfield

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calculate the interpolating polynomial using Lagrange interpolation. Output is the interpolated value for a given value of x, as well as the vector of Lagrange polynomial coefficients.</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

157 Solutions
12 Solvers

Last Solution submitted on Apr 19, 2021

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Aryaa Ravieshancar on 30 Oct 2014

Could you please explain the output (the order of arrangement of coefficients, etc)? With my program I'm getting the right coefficients (tried from wikipedia, etc) but they don't match yours. Only the interpolated value matches!

Problem Recent Solvers12

Problem Tags

aoe2074 interpolation

Community Treasure Hunt

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

Start Hunting!

Problem 1017. Lagrange Interpolation

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Problem 1017. Lagrange Interpolation

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Players